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Add vectors v1 = <1, 4, -6>, v2 = <-3, 0, -2>

v1 + v2 = <1+ -3, 4 + 0, -6 + -2> = <-2, 4, -8>

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Multiply by constant 2 * V1 = <1, 4, -6>

2 * V1 = <2, 8, -12>

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Subtract vectors v1 = <1, 4, -6>, v2 = <-3, 0, -2>

v1 - v2 = <1- -3, 4 - 0, -6 - -2> = <4, 4, -4>

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Dot Product

V * W = v1w1+ v2w2 + v3w3

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Dot Product (Geometric)

V * W = |V||W| cos (Theda)

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Dot Product (Geometric Understanding)

If Dot product is 0 then vectors are perpendicular

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Magnitude |a|

|a| = sqrt(a_x^2+a_y^2 + a_z^2)

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Direction a

tan ^ -1 (a_x / a_y)

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Cross Product

A x B = <AyBz - AzBy, AzBx - AxBz, AxBy - AyBx>

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w = 7i + j - 3k

w = <7, 1, -3>

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Cross Product

| V x W| = |V||w|sin (Theda)

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