The algorithm for vector dot multiplication, cross multiplication, dot multiplication and cross multiplication? For example, the algorithm of finding vector dot product, cross product, dot product and cross product mixture? Why is vector a × vector b = / A / ● B / sin θ? Two vector cross products get a vector? But the right side of the equation is a numerical value. And the volume v = A1 ‰

The algorithm for vector dot multiplication, cross multiplication, dot multiplication and cross multiplication? For example, the algorithm of finding vector dot product, cross product, dot product and cross product mixture? Why is vector a × vector b = / A / ● B / sin θ? Two vector cross products get a vector? But the right side of the equation is a numerical value. And the volume v = A1 ‰

First of all, "vector a × vector b = / A / ● B / sin θ" is wrong. On the left side, it should be the module of a cross multiplying B. secondly, the size of (A2 × A3) is equal to the area of the bottom parallelogram. After point multiplying A1, it is equal to multiplying by / A1 / cos θ, which is the volume