Question

If two vectors $a$ and $b$ represented by two adjacent sides of a parallelogram in magnitude and direction then $a+b$ is represented as

• A. diagonal 1 (as shown)
• B. diagonal 2 (as shown)
• C. sides opposite to either of the side
• D. None of the above

Answer 1

Answer: (A)

If we have two vectors $a$ and $b$ represented by the two adjacent sides of a parallelogram in magnitude and direction then their sum $a+b$ is represented in magnitude and direction by the diagonal of the parallelogram through their common point. This is known as the parallelogram law of vector addition.