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  • Need solution for RD Sharma Maths Class 12 Chapter 23 Scalar or Dot Products Excercise Very Short Answer Question 5

Need solution for RD Sharma Maths Class 12 Chapter 23 Scalar or Dot Products Excercise Very Short Answer Question 5

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ANSWER:  -24

GIVEN:  3 \hat{i}-2 \hat{j}+4 \hat{k} \quad \& \quad 18 \hat{i}-12 \hat{j}-m \hat{k}   are parallel

HINTS: you must know about the concept of parallel vector

SOLUTION: if vectors are parallel then,

\begin{aligned} &\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}} \\ & \end{aligned}

\text { Here, } a_{1}=3, b_{1}=-2, c_{1}=-4 \& a_{2}=18, b_{2}=-12, c_{2}=-m \\

\Rightarrow \frac{3}{18}=\frac{-2}{-12}=\frac{4}{-m}

\begin{aligned} &\Rightarrow \frac{1}{6}=\frac{1}{6}=\frac{4}{-m} \\ \end{aligned}

\Rightarrow \frac{1}{6}=\frac{4}{-m} \\

\Rightarrow m=-6 \times 4 \\

\Rightarrow m=-24

Posted by

infoexpert27

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