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  • Please solve RD Sharma class 12 chapter 28 The Plane exercise very short answer type question 9 maths textbook solution

Please solve RD Sharma class 12 chapter 28 The Plane exercise very short answer type question 9 maths textbook solution

Answers (1)

Answer:

 \overrightarrow{r}.\left ( \frac{2}{7}\widehat{i}+\frac{3}{7}\widehat{j}-\frac{6}{7}\widehat{k} \right )=2

Hint:

 \overrightarrow{r}.\frac{\overrightarrow{n}}{\left | \overrightarrow{n} \right |}=\frac{d}{\left | \overrightarrow{n} \right |}

Given:

 \overrightarrow{r}.(2\widehat{i}+3\widehat{j}-6\widehat{k})=14

Solution:

\begin{aligned} &\overrightarrow{n}=2\widehat{i}+3\widehat{j}-6\widehat{k}\\ &\left |\overrightarrow{n} \right |=\sqrt{2^2+3^2+(-6)^2}\\ &=\sqrt{4+9+36}\\ &=\sqrt{49} = 7 \end{aligned}

Plane in normal form,

\overrightarrow{r}.\left ( \frac{2}{7}\widehat{i}+\frac{3}{7}\widehat{j}-\frac{6}{7}\widehat{k} \right )=2

Posted by

Gurleen Kaur

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