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  • Explain solution RD Sharma class 12 Chapter 23 Scalar or Dot Products Exercise Very Short Answer question 30

Explain solution RD Sharma class 12 Chapter 23 Scalar or Dot Products Exercise Very Short Answer question 30

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Answer :-   3

Hint :- Apply the formula of perpendicular vectors

Given :-  \vec{a}=2 \hat{\imath}+\lambda \hat{\jmath}+3 \hat{k} \& \vec{b}=3 \hat{\imath}+2 \hat{\jmath}-4 \hat{k}   are perpendicular

Solution :- If vectors are perpendicular then  \vec{a} \cdot \vec{b}=0

\begin{aligned} &\Rightarrow(2 \hat{\imath}+\lambda \hat{\jmath}+3 \hat{k})(3 \hat{\imath}+2 \hat{\jmath}-4 \hat{k})=0 \\ & \end{aligned}

\Rightarrow 6+2 \lambda-12=0 \\

\Rightarrow 2 \lambda-6=0 \\

\Rightarrow 2 \lambda=6 \\

\Rightarrow \lambda=\frac{6}{2} \\

\Rightarrow \lambda=3

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