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  • Provide solution for RD Sharma maths class 12 chapter 28 The Plane exercise Fill in the blank question 18

Provide solution for RD Sharma maths class 12 chapter 28 The Plane exercise Fill in the blank question 18

Answers (1)

Answer:

 \vec{r}.(5\hat{i}-3\hat{j}-2\hat{k})=38

is the required equation of plane.

Hint:

 Use figure to solve the equation

Given:

 (5,-3,-2)

Solution:

From the figure normal to the plane is

\vec{n}=\vec{OP}=(5\hat{i}-3\hat{j}-2\hat{k})

Plane passing through the point P(5,-3,-2)

Equation of plane is

\begin{aligned} &5(x-5)-3(y+3)-2(z+2)=0\\ &5x-3y-2z=38 \end{aligned}

In vector form

\vec{r}.(5\hat{i}-3\hat{j}-2\hat{k})=38

Posted by

Gurleen Kaur

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