Year 12 Term 4 Flashcards Preview

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Flashcards in Year 12 Term 4 Deck (9)
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1

Dot product formula

a ° b = |a| x |b| x Cos theta

2

What is the cosine rule in vector form

|a-b|^2 = |a|^2 + |b|^2 - 2a ° b

3

What is the dot product formula for components

u ° v = x1x2 + y1y2

4

What is the rule for terms in dot product

I ° I = J ° J = 1

I ° J = J ° I = 0

5

How can projection u onto x be expressed using dot product

PROJxU = (u ° x^) x^
Or
PROJxU =(u ° x/x ° x) × X

6

How to test if vectors are perpendicular

U ° V =0

7

How to test if vectors are parallel

U ° V = |U| |V|

8

How to find direction of vector

Tan^-1 (y/x)

9

Length of projection formula

PROJbA = a°b/|b|