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  • Explain solution RD Sharma class 12 Chapter 23 Scalar or Dot Products Exercise Very Short Answer question 36

Explain solution RD Sharma class 12 Chapter 23 Scalar or Dot Products Exercise Very Short Answer question 36

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Answer:  \frac{8}{7}

Given:  7 \hat{\imath}+\hat{\jmath}-4 \hat{\mathrm{k}} \& 2 \hat{\mathrm{i}}+6 \hat{\jmath}+3 \hat{\mathrm{k}}

Hint: Apply the formula of projector of the vectors.

Solution: projection of the vector  =\frac{\vec{a} \cdot \vec{b}}{\left|b^{-3}\right|}


\begin{aligned} &\frac{(7 \hat{\imath}+\hat{\jmath}-4 \hat{\mathrm{k}}) \cdot(2 \hat{\mathrm{i}}+6 \hat{\jmath}+3 \hat{\mathrm{k}})}{\sqrt{2^{2}+6^{2}+3^{2}}} \\ & \end{aligned}

=\frac{14+6-12}{\sqrt{4+36+9}}

=\frac{20-12}{\sqrt{49}}

projection of the vector  = \frac{8}{7}

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