Ch 6+10

Question 1

Unit vector

Answer 1

(1/|u|) ⋅ u

Question 2

Tanθ

Answer 2

v2/v1

Question 3

Which form of a vector has cosθ and sinθ?

Answer 3

|v|cosθi + |v|sinθj

Question 4

Angle between vectors:

Answer 4

cosθ = (u ⋅ v) / (|u| |v||)

Question 5

Projection of u onto v:

Answer 5

[(u ⋅ v) / |v|²] ⋅ v

Question 6

The cross product of two vectors

Answer 6

|i j k|
|u1 u2 u3|
|v1 v2 v3|

Question 7

Area of a parallelogram with u and v as adjacent sides

Answer 7

The magnitude of the cross product