Question

Notify Me Bookmark

Part A Given two vectors A→ = 4.00 i^+7.00 j^ and B→ = 5.00 i^−2.00 j^, find the vector product A→×B→ (expressed in unit vectors). Express your answer in terms of the unit vectors i^, j^, and k^. Use the 'unit vector' button to denote unit vectors in your answer. A→×B→ = Submit Request Answer Part B What is the magnitude of the vector product?

Part A Given two vectors A→ = 4.00 i^+7.00 j^ and B→ = 5.00 i^−2.00 j^, find the vector product A→×B→ (expressed in unit vectors). Express your answer in terms of the unit vectors i^, j^, and k^. Use the 'unit vector' button to denote unit vectors in your answer. A→×B→ = Submit Request Answer Part B What is the magnitude of the vector product?

Image text
Part A
Given two vectors A → = 4.00 i ^ + 7.00 j ^ and B → = 5.00 i ^ − 2.00 j ^ , find the vector product A → × B → (expressed in unit vectors). Express your answer in terms of the unit vectors i ^ , j ^ , and k ^ . Use the 'unit vector' button to denote unit vectors in your answer.
A → × B → =
◻ Submit Request Answer Part B
What is the magnitude of the vector product?

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Using unit vectors. Figure 1 of 1 Part A Write the vector A→ in (Figure 1) in terms of the unit vectors i^ and j^. Express your answer in terms of the unit vectors i^ and j^. Use the 'unit vector' button to denote unit vectors in your answer. Express the coefficients in meters. Part B Write the vector B→ in the figure in terms of the unit vectors i^ and j^. Express your answer in terms of the unit vectors i^ and j^. Use the 'unit vector' button to denote unit vectors in your answer. Express the coefficients in meters. Part C Use unit vectors to express the vector C→, where C→ = 3.00 A→−4.00 B→. Express your answer in terms of the unit vectors i^ and j^. Use the 'unit vector' button to denote unit vectors in your answer. Express the coefficients in meters. Part D Find the magnitude of C→. Express your answer in meters. Part E Find the direction of C→. Express your answers in degrees. C = ∘ counterclockwise from +x-axis For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Using unit vectors. Figure 1 of 1 Part A Write the vector A→ in (Figure 1) in terms of the unit vectors i^ and j^. Express your answer in terms of the unit vectors i^ and j^. Use the 'unit vector' button to denote unit vectors in your answer. Express the coefficients in meters. Part B Write the vector B→ in the figure in terms of the unit vectors i^ and j^. Express your answer in terms of the unit vectors i^ and j^. Use the 'unit vector' button to denote unit vectors in your answer. Express the coefficients in meters. Part C Use unit vectors to express the vector C→, where C→ = 3.00 A→−4.00 B→. Express your answer in terms of the unit vectors i^ and j^. Use the 'unit vector' button to denote unit vectors in your answer. Express the coefficients in meters. Part D Find the magnitude of C→. Express your answer in meters. Part E Find the direction of C→. Express your answers in degrees. C = ∘ counterclockwise from +x-axis For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Using unit vectors. Figure 1 of 1 Part A Write the vector A→ in (Figure 1) in terms of the unit vectors i^ and j^. Express your answer in terms of the unit vectors i^ and j^. Use the 'unit vector' button to denote unit vectors in your answer. Express the coefficients in meters. Part B Write the vector B→ in the figure in terms of the unit vectors i^ and j^. Express your answer in terms of the unit vectors i^ and j^. Use the 'unit vector' button to denote unit vectors in your answer. Express the coefficients in meters. Part C Use unit vectors to express the vector C→, where C→ = 3.00 A→−4.00 B→. Express your answer in terms of the unit vectors i^ and j^. Use the 'unit vector' button to denote unit vectors in your answer. Express the coefficients in meters. Part D Find the magnitude of C→. Express your answer in meters. Part E Find the direction of C→. Express your answers in degrees. C = ∘ counterclockwise from +x-axis For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Using unit vectors. Figure 1 of 1 Part A Write the vector A→ in (Figure 1) in terms of the unit vectors i^ and j^. Express your answer in terms of the unit vectors i^ and j^. Use the 'unit vector' button to denote unit vectors in your answer. Express the coefficients in meters. Part B Write the vector B→ in the figure in terms of the unit vectors i^ and j^. Express your answer in terms of the unit vectors i^ and j^. Use the 'unit vector' button to denote unit vectors in your answer. Express the coefficients in meters. Part C Use unit vectors to express the vector C→, where C→ = 3.00 A→−4.00 B→. Express your answer in terms of the unit vectors i^ and j^. Use the 'unit vector' button to denote unit vectors in your answer. Express the coefficients in meters. Part D Find the magnitude of C→. Express your answer in meters. Part E Find the direction of C→. Express your answers in degrees. C = ∘ counterclockwise from +x-axis

Solution
0 0

Find the angle between each of the following pairs of vectors. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of finding an angle with scalar product. Part A A→ = −2.00 i^+6.00 j^ and B→ = 8.00 i^−3.00 j^. Express your answer in degrees. Part B A→ = 5.00 i^+5.00 j^ and B→ = 10.00 i^+6.00 j^. Express your answer in degrees. Submit Request Answer Part C A→ = −4.00 i^+2.00 j^ and B→ = 7.00 i^+14.00 j^. Express your answer in degrees. ϕ = Find the angle between each of the following pairs of vectors. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of finding an angle with scalar product. Part A A→ = −2.00 i^+6.00 j^ and B→ = 8.00 i^−3.00 j^. Express your answer in degrees. Part B A→ = 5.00 i^+5.00 j^ and B→ = 10.00 i^+6.00 j^. Express your answer in degrees. Submit Request Answer Part C A→ = −4.00 i^+2.00 j^ and B→ = 7.00 i^+14.00 j^. Express your answer in degrees. ϕ =

Solution
0 0

Two very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform charge densities σ1, σ2, σ3 and σ4 on their surfaces, as shown in the following figure (Figure 1). These surface charge densities have the values σ1 = −6.60 μC/m2, σ2 = 5.00 μC/m2, σ3 = 1.60 μC/m2, and σ4 = 4.00 μC/m2. Use Gauss's law to find the magnitude and direction of the electric field at the following points, far from the edges of these sheets. Figure 1 of 1 Part A What is the magnitude of the electric field at point A, 5.00 cm from the left face of the left-hand sheet? Express your answer with the appropriate units. Submit Request Answer Part B What is the direction of the electric field at point A, 5.00 cm from the left face of the left-hand sheet? to the left. to the right. upwards. downwards. Part C What is the magnitude of the electric field at point B, 1.25 cm from the inner surface of the right-hand sheet? Express your answer with the appropriate units. Submit Request Answer Part D What is the direction of the electric field at point B, 1.25 cm from the inner surface of the right-hand sheet? to the left. to the right. upwards. downwards. Part E What is the magnitude of the electric field at point C, in the middle of the right-hand sheet? Express your answer with the appropriate units. Submit Request Answer Part F What is the direction of the electric field at point C, in the middle of the right-hand sheet? to the left. to the right. upwards. downwards. Submit Request AnswerTwo very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform charge densities σ1, σ2, σ3 and σ4 on their surfaces, as shown in the following figure (Figure 1). These surface charge densities have the values σ1 = −6.60 μC/m2, σ2 = 5.00 μC/m2, σ3 = 1.60 μC/m2, and σ4 = 4.00 μC/m2. Use Gauss's law to find the magnitude and direction of the electric field at the following points, far from the edges of these sheets. Figure 1 of 1 Part A What is the magnitude of the electric field at point A, 5.00 cm from the left face of the left-hand sheet? Express your answer with the appropriate units. Submit Request Answer Part B What is the direction of the electric field at point A, 5.00 cm from the left face of the left-hand sheet? to the left. to the right. upwards. downwards. Part C What is the magnitude of the electric field at point B, 1.25 cm from the inner surface of the right-hand sheet? Express your answer with the appropriate units. Submit Request Answer Part D What is the direction of the electric field at point B, 1.25 cm from the inner surface of the right-hand sheet? to the left. to the right. upwards. downwards. Part E What is the magnitude of the electric field at point C, in the middle of the right-hand sheet? Express your answer with the appropriate units. Submit Request Answer Part F What is the direction of the electric field at point C, in the middle of the right-hand sheet? to the left. to the right. upwards. downwards. Submit Request AnswerTwo very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform charge densities σ1, σ2, σ3 and σ4 on their surfaces, as shown in the following figure (Figure 1). These surface charge densities have the values σ1 = −6.60 μC/m2, σ2 = 5.00 μC/m2, σ3 = 1.60 μC/m2, and σ4 = 4.00 μC/m2. Use Gauss's law to find the magnitude and direction of the electric field at the following points, far from the edges of these sheets. Figure 1 of 1 Part A What is the magnitude of the electric field at point A, 5.00 cm from the left face of the left-hand sheet? Express your answer with the appropriate units. Submit Request Answer Part B What is the direction of the electric field at point A, 5.00 cm from the left face of the left-hand sheet? to the left. to the right. upwards. downwards. Part C What is the magnitude of the electric field at point B, 1.25 cm from the inner surface of the right-hand sheet? Express your answer with the appropriate units. Submit Request Answer Part D What is the direction of the electric field at point B, 1.25 cm from the inner surface of the right-hand sheet? to the left. to the right. upwards. downwards. Part E What is the magnitude of the electric field at point C, in the middle of the right-hand sheet? Express your answer with the appropriate units. Submit Request Answer Part F What is the direction of the electric field at point C, in the middle of the right-hand sheet? to the left. to the right. upwards. downwards. Submit Request Answer
Solution
3 0