Review of vectors

y

ay

Scalar (dot) product

(a number):

Cross product

(a vector):

a

a

x

ax

Addition:

Multiplication by a number c:

a

a+b

ca

(a,b) = ax bx + ay by

2D:

3D:

3D:

(a,b) = ax bx + ay by + az bz

(a,b) = |a||b|cosa

(a,b) = (b,a)

(a, k1b +k2c ) = k1 (a,b)+k2 (a,c )

a

b

a

b

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