Dot product and cross product of vector

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dot product

a.b = |a||b|cos

a.b = a₁b₁ + a₂b₂

a.b = a₁b₁ + a₂b₂ + a₃b₃

cross product

|a*b| = |a||b|sin

(a*b)_x = a_yb_z - a_zb_y
(a*b)_y = a_zb_x - a_xb_z
(a*b)_z = a_xb_y - a_yb_x

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