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  • Please Solve RD Sharma Class 12 Chapter 23 Scalar or Dot Product Exercise Very Short Answer Question 27 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 23 Scalar or Dot Product Exercise Very Short Answer Question 27 Maths Textbook Solution.

Answers (1)

Answer :-  \lambda= \frac{5}{2}

Hint :- You must know the formula for perpendicular vectors

 Given :-  \vec{a}=2 \hat{\imath}+\lambda \hat{\jmath}+\hat{k} \& \vec{b}=\hat{\imath}-2 \hat{\jmath}+3 \hat{k}

Solution :- If vectors are perpendicular than

\begin{aligned} &\Rightarrow(2 \hat{\imath}+\lambda \hat{\jmath}+\hat{k}) \cdot(\hat{\imath}-2 \hat{\jmath}+3 \hat{k})=0 \\ & \end{aligned}

\Rightarrow 2-2 \lambda+3=0 \\

\Rightarrow-2 \lambda+5=0 \\

\Rightarrow-2 \lambda=-5 \\

\Rightarrow \lambda=\frac{5}{2}

 

Posted by

infoexpert27

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