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JEE Advanced

Exam: JEE Advanced
Subject: Physics
Chapter: Mathematics in Physics

JEE Advanced · Physics · Mathematics in Physics

If a and b are two non parallel vectors then [ a ×( a × b )] .[ a ×...

If

\vec{a}

and

\vec{b}

are two non parallel vectors then

[\vec{a} \times(\overrightarrow{\mathbf{a}} \times \overrightarrow{\mathbf{b}})] .[\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}]

is equal to

Options

A $a^3 b^2$
B $a^2(\vec{a} \cdot \vec{b})$
Czero
DNone of these

Correct answer

C. zero

Step-by-step solution

(\overrightarrow{\mathbf{a}} \times \overrightarrow{\mathbf{b}}) \perp[\overrightarrow{\mathbf{a}} \times(\overrightarrow{\mathbf{a}} \times \overrightarrow{\mathbf{b}})]

. Dot product is zero.

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