Vectors

Question 1

Vector in terms of magnitude and direction

Answer 1

v = ||v||cosx i + ||v||sinx j

Question 2

Unit vector with same direction

Answer 2

v / ||v||

Question 3

Dot product

Answer 3

v o w = a1a2 + b1b2

Question 4

Alternative dot product

Answer 4

v o w = ||v||||w||cosx

Question 5

Angle between two vectors

Answer 5

(v o w)/(||v||||w||)

Question 6

Orthogonal

Answer 6

If v o w = 0.

Question 7

Vector projection of v onto w

Answer 7

projwv = (v o w)/||w||^2 * w