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  • Please solve RD Sharma class 12 chapter The Plane exercise 28.15 question 13 maths textbook solution

Please solve RD Sharma class 12 chapter The Plane exercise 28.15 question 13 maths textbook solution

Answers (1)

Answer: \frac{12}{29}, \frac{-18}{29}, \frac{24}{29}

Hint:

Let cosines be L,M,N.

\vec{r} \cdot \hat{n}=d .

Given:

Find the coordinates of the foot of the perpendicular drawn from the origin to the plane 2x-3y+4z-6=0

Solution:

2x-3y+4z-6=0

\begin{aligned} &2 x-3 y+4 z=6 \\\\ &\sqrt{2^{2}+3^{2}+4^{2}}=\sqrt{29} \\\\ &=\frac{2}{\sqrt{29}} x-\frac{3}{\sqrt{29}} y+\frac{4}{\sqrt{29}} 3 \\\\ &=\frac{6}{\sqrt{29}} \end{aligned}

Direction cosines =\frac{2}{\sqrt{29}}, \frac{-3}{\sqrt{4}},+\frac{4}{\sqrt{29}}

 

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