Vectors

Question 1

Component Form of a Vector

Answer 1

v = (Q1 - P1,Q2 - P2)

Question 2

Magnitude of a Vector

Answer 2

||v|| = √(q1 - p1)² + (q2 - p2)²

Question 3

P = ?
Q = ?

Answer 3

P = initial point
Q = terminal point

Question 4

To find a unit vector, u = ?

Answer 4

u = v/||v||

Question 5

Component Form of a vector given θ

Answer 5

v = ||v||cosθi + ||v||sinθj

Question 6

Angle (θ) Between

Answer 6

θ = cos^-1[(u)(v)/(||u||)(||v||)]

Question 7

The vectors are orthogonal (perpendicular) if…

Answer 7

(f)(u) = 0

Question 8

The vectors are parallel if…

Answer 8

u = k(x,y) and v = c(x,y)