Question

Consider the following statements A and B given below and identity the correct answer.

A) With the help of the relative velocity of rain with respect to man, the direction of the umbrella held by him to save from the rain is determined.

B) A parallelogram has sides represented by vectors $\overrightarrow{a}$ and $\overrightarrow{b}$. If ${\overrightarrow{d}}_1$ and ${\overrightarrow{d}}_2$ are the

diagonal vectors of the parallelogram then $2(a^2+b^2)=d_1^2+d_2^2$.

• A. Both A and B are true
• B. A is true but B is false
• C. B is true but A is false
• D. Both A and B are false

Answer 1

The correct option is A Both A and B are true

A) With the help of the relative velocity of rain with respect to man, the direction of the umbrella held by him to save from the rain can be determined.
B) $\overrightarrow{d_1}=\overrightarrow{a}+\overrightarrow{b}$ and $\overrightarrow{d_2}=\overrightarrow{a}-\overrightarrow{b}$
If we take modulus and square and add, we get $d_1^2+d_2^2=2(a^2+b^2)$.