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  • Provide solution for RD Sharma maths class 12 chapter 28 The Plane exercise very short answer type question 10

Provide solution for RD Sharma maths class 12 chapter 28 The Plane exercise very short answer type question 10

Answers (1)

Answer:

 4 units

Hint:

 d= \left | \frac{Ax+By+Cz+D}{\sqrt{a^2+b^2+c^2}} \right |

Given:

 \overrightarrow{r}.(2\widehat{i}-\widehat{j}+2\widehat{k})=12

Solution:

\begin{aligned} &\overrightarrow{r}.(2\widehat{i}-\widehat{j}+2\widehat{k})=12\\ &(x\widehat{i}+y\widehat{j}+z\widehat{k}).(2\widehat{i}-\widehat{j}+2\widehat{k})=12\\ &\Rightarrow 2x-y+2z=12\\ &\Rightarrow 2x-y+2z-12=0 \end{aligned}

Point (0, 0, 0)

\begin{aligned} &d= \left | \frac{Ax+By+Cz+D}{\sqrt{a^2+b^2+c^2}} \right |\\ &= \left | \frac{2(0)+(-1)(0)+2(0)-12}{\sqrt{2^2+(-1)^2+2^2}} \right |\\ &=\left | \frac{12}{\sqrt{9}} \right |\\ &=\left |\frac{-12}{3} \right |\\ &=4 \: \: units \end{aligned}

Posted by

Gurleen Kaur

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