Scalar And Vector Product Of Two Vectors

Dot Product Or Scalar Product

It is defined as the product of the magnitudes of vector A and B and the cosine of the angle θ between them.

It is represented by

Let a = a₁ i^ + a₂ j^ + a₃ k^ and b = b₁ i^ + b₂ j^ + b₃ k^, then

It is defined as the product of the magnitude of vector A and B and the sine of the angle θ between them.

It is represented as-

A×B = AB Sinθ

Let a = a₁ i^ + a₂ j^ + a₃ k^ and b = b₁ i^ + b₂ j^ + b₃ k^, then

Case-I: Cross product of two parallel or anti parallel vectors is zero.

Case-II: Cross product of two mutually perpendicular vector is equal to product of the magnitude of two vectors.