Give the derivation for resultant of two vectors and for the angle between resultant and a vector.

Explanation:

Let us assume the two vectors as P and Q.

The figure representing the two vectors is given below:

Let the angle between these two angles be θ. According to the law of vector addition, the diagonal of the parallelogram represents the resultant of the two vectors which are present on the adjacent sides of the parallelogram.

A perpendicular BC is drawn to the extended side AC of the parallelogram.

From the triangle OCB,

Final Answer:

Hence, the derivative of the two vectors is and the angle between them is