Vector dot product cross product derived formula

Dot

Derived formula 1:

a • b = ax + bx * is * by 

=  (|a|*sinθ1) * (|b| * sinθ2) +   (|a| * cosθ1) * (|b| * cosθ2)

= |a||b|(sinθ1*sinθ2 + cosθ1*cosθ2)

=|a||b|(cos(θ1-θ2))

= |a||b|cosθ

Derived formula 2:

 Geometric meaning: is multiplied by the length of an edge to another edge of the other side of the projection

 

Cross product:

 

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Origin www.cnblogs.com/honghong87/p/11517634.html