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  • Explain solution RD Sharma class 12 chapter 23 Scaler and Dot Product exercise Multiple choice question 16 maths

Explain solution RD Sharma class 12 chapter 23 Scaler and Dot Product exercise Multiple choice question 16 maths

Answers (1)

Answer:

Option (a) 1

Hint:

The projection of  \vec{p} \text { and } \vec{q} \text { is } \frac{\bar{p} \cdot \vec{q}}{|\vec{q}|}

Given:

Projection of the vector  \hat{i}+\hat{j}+\hat{k}  along the vector \vec{j}

Solution:

\text { Let } \vec{p}=\hat{i}+\hat{j}+\hat{k} \text { and } \vec{q}=\hat{j}

The projection of   \vec{p} \text { and } \vec{q} \text { is } \frac{\bar{p} \cdot \vec{q}}{|\vec{q}|}

\begin{aligned} &=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot \hat{j}}{|\hat{j}|} \\\\ &=\frac{0+1+0}{1} \\\\ &=1 \end{aligned}

Hence, option (a) is correct

 

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