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  • Explain solution RD sharma class 12 chapter 23 scalar or dot product exercise Fill in the blanks question 16

Explain solution RD sharma class 12 chapter 23 scalar or dot product exercise Fill in the blanks question 16

Answers (1)

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\vec{r}

Hint:

               \vec{r}=x\hat{i}+y\hat{j}+z\hat{k}

Given:

For any non-vector \vec{r}, the expression \vec{r}=(r.i)\hat{i}+(r.j)\hat{j}+(r.k)\hat{k}   equals to

Solution:

\begin{aligned} &\vec{r}=x \hat{\imath}+y \hat{\jmath}+z \hat{k} \\ \end{aligned}

\begin{aligned} &r \cdot \hat{\imath}=x \\ &r \cdot \hat{\jmath}=y \\ &r \cdot \hat{k}=z \\ \end{aligned}

\begin{aligned} &(r . i) \hat{\imath}+(r . j) \hat{\jmath}+(r \cdot k) \hat{k}=x \hat{\imath}+y \hat{\jmath}+z \hat{k} \\ &x \hat{\imath}+y \hat{\jmath}+z \hat{k}=\vec{r} \end{aligned}

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