Year 12 Term 4 Flashcards
1
Q
Dot product formula
A
a ° b = |a| x |b| x Cos theta
2
Q
What is the cosine rule in vector form
A
|a-b|^2 = |a|^2 + |b|^2 - 2a ° b
3
Q
What is the dot product formula for components
A
u ° v = x1x2 + y1y2
4
Q
What is the rule for terms in dot product
A
I ° I = J ° J = 1
I ° J = J ° I = 0
5
Q
How can projection u onto x be expressed using dot product
A
PROJxU = (u ° x^) x^
Or
PROJxU =(u ° x/x ° x) × X
6
Q
How to test if vectors are perpendicular
A
U ° V =0
7
Q
How to test if vectors are parallel
A
U ° V = |U| |V|
8
Q
How to find direction of vector
A
Tan^-1 (y/x)
9
Q
Length of projection formula
A
PROJbA = a°b/|b|
