Three dogs are pulling on a stick in different directions as shown in

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Three dogs are pulling on a stick in different directions as shown in the figure. The first dog pulls with force F1 = 10i −20.4j + 2k N. The second dog pulls with force F2 = −15i − 6.2k N. The third dog pulls with force F3 = 5i + 12.5j N. a) What is the angle between F1 and F2? b) Find the point-normal equation of the plane containing F2 and F3 and the point P(1, 1, 1). c) Find the distance between the point P(1, 2, −3) and the plane in (b).

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Three dogs are pulling on a stick in different directions as shown in the figure. The first dog pulls with force

{\bar{F}}_{1} = 10 \bar{i} - 20.4 \bar{j} + 2 \bar{k} N

. The second dog pulls with force

{\bar{F}}_{2} = - 15 \bar{i} - 6.2 \bar{k} N

. The third dog pulls with force

{\bar{F}}_{3} = 5 \bar{i} + 12.5 \bar{j} N

. a) What is the angle between

{\bar{F}}_{1}

and

{\bar{F}}_{2}

? b) Find the point-normal equation of the plane containing

{\bar{F}}_{2}

and

{\bar{F}}_{3}

and the point

P (1, 1, 1)

. c) Find the distance between the point

P (1, 2, - 3)

and th eplane in (b).

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