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  • Need solution for RD Sharma maths class 12 chapter 23 Scaler and Dot Product exercise Multiple choice question 11

Need solution for RD Sharma maths class 12 chapter 23 Scaler and Dot Product exercise Multiple choice question 11

Answers (1)

Answer:

Option (d)   a=\frac{1}{|\lambda|}

Hint:

Use the concept of unit vector, \lambda \vec{a}=1

Given:

\vec{a} is a non-zero vector, |\vec{a}|=a  and  \lambda  is a non-zero scalar and  \lambda \vec{a}  is a unit vector

Solution:

\lambda \vec{a} is a unit vector

\begin{aligned} &\lambda \vec{a}=1 \\\\ &|\lambda||\vec{a}|=1 \\\\ &|\vec{a}|=\frac{1}{|\lambda|}[\because|\vec{a}|=a] \\\\ &a=\frac{1}{|\lambda|} \end{aligned}

Hence, option (d) is correct

Posted by

infoexpert26

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