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Physics Question on Motion in a plane

Consider a vector addition P⃗\vec{P}+Q⃗\vec{Q}=R⃗\vec{R}. If P⃗\vec{P}=|P⃗\vec{P}|i^\hat{i},|Q⃗\vec{Q}|=10 andR⃗\vec{R}= 3 |P⃗\vec{P}|j^\hat{j},then |P⃗\vec{P}| is:

A

10\sqrt{10}

B

30

C

30\sqrt{30}

D

210\sqrt{10}

E

220\sqrt{20}

Answer

10\sqrt{10}

Explanation

Solution

The correct answer is (A): 10\sqrt{10}