PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Archives>Q 1

EASY

JEE Advanced

IMPORTANT

Earn 100

Three vectors $P, Q$ and $\vec{R}$ are shown in the figure. Let $S$ be any point on the vector $\vec{R} .$ The distance between the points $P$ and $S$ is $b | \vec{R} | .$ The general relation among vectors $\vec{P}, \vec{Q}$ and $\vec{S}$ is:

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Important Questions on Vectors

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Archives>Q 1

Two vectors

\vec{A}

and

\vec{B}

are defined as

\vec{A} = a \hat{i}

and

\vec{B} = a (cosωt \hat{i} + sinωt \hat{j})

where

a

is a constant and

ω = \frac{π}{6} rad s^{- 1} .

If

| \vec{A} + \vec{B} | = \sqrt{3} | \vec{A} - \vec{B} |

at time

t = τ

for the first time, the value of

τ,

in seconds is ______.