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  • Explain solution RD Sharma class 12 Chapter 23 Scalar or Dot Products Exercise Very Short Answer question 28

Explain solution RD Sharma class 12 Chapter 23 Scalar or Dot Products Exercise Very Short Answer question 28

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Answer :-  \frac{8}{7}

Hint :- Use the formula of projection of  \vec{a} \& \vec{b}

 Given :-  \vec{a} \cdot \vec{b}=8 \& \vec{b}=2 \hat{\imath}+6 \hat{\jmath}+3 \hat{k}

Solution :- Projection of  \vec{a} \text { on } \vec{b}=\frac{\vec{a} \cdot \vec{b}}{|\vec{b}|}\qquad[\because \vec{a} \cdot \vec{b}=8]

 \Rightarrow  Projection of     \vec{a} \text { on } \vec{b}=\frac{8}{\sqrt{(2)^{2}+(6)^{2}+(3)^{2}}}=\frac{8}{\sqrt{4+36+9}}=\frac{8}{\sqrt{49}}

\Rightarrow Projection of     \vec{a} \text { on } \vec{b}=\frac{8}{7}

 

 

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