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  • Need solution for RD Sharma Maths Class 12 Chapter 23 Scalar or Dot Products Excercise Very Short Answer Question 4

Need solution for RD Sharma Maths Class 12 Chapter 23 Scalar or Dot Products Excercise Very Short Answer Question 4

Answers (1)

ANSWER:  -2

GIVEN:  3 \hat{i}+m \hat{j}+\hat{k} \quad \& \quad 2 \hat{i}-\hat{j}-8 \hat{k} are orthogonal

HINTS: you must know about the concept of perpendicular vector

SOLUTION:if vectors are perpendicular or orthogonal then,

 \begin{aligned} &\vec{a} \cdot \vec{b}=0 \\ & \end{aligned}

\Rightarrow(3 \hat{i}+m \hat{j}+\hat{k}) \cdot(2 \hat{i}-\hat{j}-8 \hat{k})=0 \\

\Rightarrow 6-m-8=0 \quad \Rightarrow-m-2=0 \\

\Rightarrow m=-2

Posted by

infoexpert27

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