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JEE Main 202225 JuneMorning Shift

Exam: JEE Main
Year: 2022
Date: 25 June
Shift: Morning Shift
Subject: Physics
Chapter: Mathematics in Physics

JEE Main 2022 · 25 June · Morning Shift · Physics · Mathematics in Physics

→ A is a vector quantity such that | → A | = non-zero constant....

\overset{\to}{A}

is a vector quantity such that \left|\overset{\to}{A}\right| =

non-zero constant. Which of the following expression is true for

\overset{\to}{A}

?

Options

A $\overset{\to}{A} \cdot \overset{\to}{A} = 0$
B $\overset{\to}{A} \times \overset{\to}{A} < 0$
C $\overset{\to}{A} \times \overset{\to}{A} = 0$
D $\overset{\to}{A} \times \overset{\to}{A} > 0$

Correct answer

C. $\overset{\to}{A} \times \overset{\to}{A} = 0$

Step-by-step solution

Since both the vectors are same, they will be parallel to each other. We know that vector product of two parallel vectors is zero.

Hence,

$\overset{\to}{A} \times \overset{\to}{A} = 0$ is the correct answer.

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