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  • Please Solve RD Sharma Class 12 Chapter 23 Scalar or Dot Product Exercise Very Short Answer Question 33 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 23 Scalar or Dot Product Exercise Very Short Answer Question 33 Maths Textbook Solution.

Answers (1)

Answer:  5

Given:  (\hat{\imath}+3 \hat{\jmath}+7 \hat{k}) \&(2 \hat{\imath}-3 \hat{\jmath}+6 \hat{k})

Hint: Use the formula of projection of a on  \vec{a} \text { on } \vec{b}

Solution: projection of the vector  =\frac{\vec{a} \cdot \vec{b}}{|\vec{b}|}

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

=\frac{2-9+42}{\sqrt{4+9+36}}=\frac{44-9}{\sqrt{49}}=\frac{35}{7}

\Rightarrow projection of the vector  = 5

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