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  • Please solve RD Sharma class 12 chapter 28 The Plane exercise multiple choice question 21 maths textbook solution

Please solve RD Sharma class 12 chapter 28 The Plane exercise multiple choice question 21 maths textbook solution

Answers (1)

Answer:

 Option (c)

Hint:

 Use vector dot product for direction.

Given:

 2x - 3y + 6z - 11 = 0

Solution:

We have equation of plane are 2x - 3y + 6z - 11 = 0

Normal to the plane is

\overrightarrow{n} = 2\widehat{i}-3\widehat{j}+6\widehat{k}

Also x-axis is along the vector

\overrightarrow{a} = \widehat{i}+0\widehat{j}+0\widehat{k}

According to the question

\begin{aligned} &sin \alpha =\frac{\left | \overrightarrow{a}.\overrightarrow{n} \right |}{\left | \overrightarrow{a} \right |.\left | \overrightarrow{n} \right |}\\ &=\frac{\left | \widehat{i}.(2\widehat{i}-3\widehat{j}+6\widehat{k}) \right |}{\sqrt{1}.\sqrt{4+9+36}}\\ &=\frac{2}{7} \end{aligned}

Posted by

Gurleen Kaur

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