Question

When does the cross product of two equal vectors acting at a point becomes maximum?

Answer 1

The magnitude of resultant R of two vectors A and B is given by;

R² = A² + B² + 2 A B Cos ( A, B ); where

R = magnitude of the resultant R =| R |,

A = magnitude of the vector A = | A |

B = magnitude of vector B = | B |

( A, B ) = Angle between vectors A, and B

R is maximum when Cos ( A, B) = +1 ie angle between vectors A and B is zero ie vectors A and B are parallel to each other.

Resultant is maximum when the two vectors are parallel to each other.