Question

State parallelogram law of vector addition. Find analytically magnitude and direction of

resultant vector of two given vectors.

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Answer 1

Answer:

If 2 vectors of same physical quantity are reprenceted in terms of magnitide and direction are represented by 2 adjacent sides of a parallelogram, taken in an order, then the diagonal drawn from common point of intersection represents the resultant in terms of magnitide and direction

Answer 2

Given:-

Two forces P & Q in terms of vectors.

To Find:-

Resultant of these two forces

Explanation:-

Parallelogram law of vector addition states if there are two vectors forming the adjacent sides of the parallelogram then, the vector joining the tail of the first vector to the head of the second vector shows the resultant of the two vectors.

According to parallelogram law:-

$R=\sqrt{P^{2}+Q^{2}+2PQcos\theta}$ where,

$\theta$=direction of resultant vector