Vectors

Question 1

Break vector V into x and Y components

Answer 1

Vx=Vcos(ø) Vy=Vsin(Ø)

Question 2

Find Ø in a vector relationship

Answer 2

Ø=tan-^-1(Vy/Vx)

Question 3

Unit vector

Answer 3

V/|V|

Question 4

Dot product

Answer 4

A·B=a_xb_x+a_yb_y+a_zbz

=|A||B|cos(Ø)=B·A

Scalar value

Question 5

Cross Product

Answer 5

A vector product of magnitude: |B||A|sin(Ø) which is perpendicular to the plane containing A and B. The product is:

AXB=|i j k| = -B X A

|ax ay az| = i(aybz-azby)-j(axbz-azbx)+k(axby-aybx)

|bx by bz|

The area is the magnitude of the cross product