Question

If a vector + b vector equal to c vector + b vector and a vector cross c vector equal to b vector + b vector then show that a vector minus b vector is parallel to b vector minus c vector where a vector is not equal tu d and b vector is not equal to c

Answer 1

Answer:

The sum of two vectors A and B is a vector in the plane defined by A and B. Whereas A×B is a vector which is perpendicular to the plane of vectors A and B. The dot product of two vectors one in the plane of vectors A,B and the other perpendicular to the plane is zero. Furthermore being a dot product it is a scalar.