Unit 3

Question 1

What is the magnitude of a vector?

Answer 1

The length

Question 2

How is the magnitude of a vector calculated?

eg. PQ = (a,b,c)

Answer 2

IPQI = √a²+b²+c²

Question 3

What is a unit vector?

Answer 3

Any vector with the magnitude of 1

Question 4

When are vectors equal?

Answer 4

When they have the same magnitude and direction

Question 5

PQ = ?

Answer 5

PQ = q - p

Question 6

What are the basis vectors?

Answer 6

i = (1,0,0) 
j = (0,1,0)
k = (0,0,1)

Question 7

How do we find if vectors are collinear?

Answer 7

If they are parallel and have a common point

Question 8

How do we find if vectors are parallel?

Answer 8

If they are scalar multiples of the same vector

Question 9

How to find the coordinates of a point which divides a line

Answer 9

Sketch the line and show the ratio the point divides the line
Equate the ratio of the letters to numbers
Cross multiply fraction
Write PQ in the form p - q
Rearrange equation for unknown point
State coordinates

Question 10

What does it mean if…

a.b = 0

Answer 10

a and b are perpendicular

Question 11

Three properties of a scalar product formulas
a.b = ?
a(b + c) = ?
a.a = ?

Answer 11

a.b = b.a
a(b + c) = a.b + a.c
a.a = IaI²