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NEET 2005

Exam: NEET
Year: 2005
Subject: Physics
Chapter: Mathematics in Physics

NEET 2005 · Physics · Mathematics in Physics

If the angle between the vector A and ( B × A ) · A is θ , the...

If the angle between the vector

\vec{A}

and

(\vec{B} \times \vec{A}) \cdot \vec{A}

is

\theta

, the value of the product

(\vec{B} \times \vec{A}) \cdot \vec{A}

is equal to:

Options

A $B A^2 \sin \theta$
B $B A^2 \cos \theta$
C $B A^2 \sin \theta \cos \theta$
Dzero

Correct answer

D. zero

Step-by-step solution

(\vec{B} \times \vec{B}) \vec{A}=(B A \sin \theta)(\vec{n} \cdot \vec{A})=0

Since

n

is perpendicular to both

\vec{A}

and

\vec{B}

.

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