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  • Explain solution RD Sharma class 12 Chapter 23 Scalar or Dot Products Exercise Very Short Answer question 35

Explain solution RD Sharma class 12 Chapter 23 Scalar or Dot Products Exercise Very Short Answer question 35

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Answer:  \lambda= \frac{5}{2}

Given:  \overrightarrow{\mathrm{a}}=2 \hat{\mathrm{i}}+\lambda \hat{\jmath}+\hat{\mathrm{k}} \& \overrightarrow{\mathrm{b}}=\hat{\imath}-2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}}  and  \vec{a} \& \vec{b}   are perpendicular

Hint: Use the formula of perpendicular vectors.

Solution: if vectors are perpendicular, then,

\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 2 \lambda=5 \\

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

Posted by

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