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Provide solution for RD Sharma maths class 12 chapter The Plane exercise 28.3  question 2 sub question (i)

Answers (1)

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Answer:

12x-3y+4z+5=0

Hint:

\vec{r}=x \hat{\imath}+y \hat{\jmath}+z \hat{k}

Given:

\vec{r} \cdot(12 \hat{\imath}-3 \hat{\jmath}+4 \hat{k})+5=0

Solution:

\begin{aligned} &\vec{r} \cdot(12 \hat{\imath}-3 \hat{\jmath}+4 \hat{k})+5=0 \\\\ &\Rightarrow(x \hat{\imath}+y \hat{\jmath}+z \hat{k}) \cdot(12 \hat{\imath}-3 \hat{\jmath}+4 \hat{k})+5=0 \\\\ &\Rightarrow 12 x-3 y+4 z+5=0 \end{aligned}

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