Vectors A→ and B→ lie in an xy plane. A→ has magnitude 5.9 and angle 102∘;B→ has components Bx = −5.20 and By = −6.67. (a) What is 5A→⋅B→? What is 4A→×3B→ in unit-vector notation ((b), (c) and (d) for i^, j^ and k^ components respectively)? (e) What is the angle between the directions of A→ and 4 A→×3 B→? What is A→+3.00 k^ in unit-vector notation ((f), (g) and (h) for i^, j^ and k^ components respectively) and magnitude-angle notation with spherical coordinates (i) for magnitude, (j) for θ and (k) for ϕ)?
