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  • Explain solution RD Sharma class 12 Chapter 23 Scalar or Dot Products Exercise Very Short Answer question 29

Explain solution RD Sharma class 12 Chapter 23 Scalar or Dot Products Exercise Very Short Answer question 29

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Answer :-   23

Hint :- Apply the formula of parallel vectors

Given :-   \vec{a}=3 \hat{\imath}+2 \hat{\jmath}+9 \hat{k} \& \vec{b}=\hat{\imath}+\mathrm{p} \hat{\jmath}+3 \hat{k}   are parallel vectors

Solution :- If vectors are parallel then  \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}

Here, a_{1}=3, b_{1}=2, c_{1}=9, a_{2}=1, b_{2}=p, c_{2}=3

\begin{aligned} &\Rightarrow \frac{3}{1}=\frac{2}{p}=\frac{9}{3} \\ \end{aligned}

\Rightarrow \quad 3=\frac{2}{p}=3 \\

\Rightarrow \frac{2}{p}=3 \\

\Rightarrow 2=3 p \\

\Rightarrow p=\frac{2}{3}

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