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  • Need solution for RD Sharma Maths Class 12 Chapter 24 Vector Or Cross Product Exercise Very Short Answer Question, question 23.

Need solution for RD Sharma Maths Class 12 Chapter 24 Vector Or Cross Product Exercise Very Short Answer Question, question 23.

Answers (1)

ANSWER:

-\overrightarrow{c}

HINT: A unit vector perpendicular to two vector \overrightarrow{a} and \overrightarrow{b}   is  \pm \frac{(\vec{a} \times \vec{b})}{|\vec{a} \times \vec{b}|}

GIVEN: \overrightarrow{a} and \overrightarrow{b} 

SOLUTION:

If  \overrightarrow{c}=\overrightarrow{a}\times \overrightarrow{b}

Multiplying (-1) on both sides

\begin{aligned} &-\vec{c}=-(\vec{a} \times \vec{b}) \\ &-\vec{c}=-\vec{b} \times(\vec{a}) \quad[\because(\vec{a} \times \vec{b})==(\vec{b} \times \vec{a})] \end{aligned}

\therefore -\overrightarrow{c} is another vector perpendicular to \overrightarrow{a} and \overrightarrow{b} 

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