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