Vectors

Question 1

when are vectors equal?

Answer 1

• same magnitude
• same direction

Question 2

relationship between parallel vectors

Answer 2

one vector has a scalar factor of the other

Question 3

unit vector

Answer 3

vector with a magnitude of 1

Question 4

relationship between colinear points

Answer 4

a single vector or multiple parallel vectors can pass through the points to form a single straight line segment

Question 5

formula of a unit vector

Answer 5

â = a/|a|

Question 6

zero vector (and what does it show)

Answer 6

AB + BA = 0 (magnitude and direction are undefined)

this means that AB = -BA

Question 7

how would you find the angle between vector a = (xi + yj + zk) and the:
- x axis
- y axis
- z axis

Answer 7

x-axis: cosθ = x/|a|

y-axis: cosθ = y/|a|

z-axis: cosθ = z/|a|