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  • Please solve RD Sharma class 12 chapter 28 The Plane exercise multiple choice question 13 maths textbook solution

Please solve RD Sharma class 12 chapter 28 The Plane exercise multiple choice question 13 maths textbook solution

Answers (1)

Answer:

 -2\widehat{i}+7\widehat{j}+13\widehat{k}

Hint:

 Solve linear equations in two variables

Given:

 \overrightarrow{r}.(3\widehat{i}-\widehat{j}+\widehat{k})=1 \text { and } \overrightarrow{r}.(\widehat{i}-4\widehat{j}-2\widehat{k})=2

Solution:

The two planes are

\overrightarrow{r}.(3\widehat{i}-\widehat{j}+\widehat{k})=1 \text { and } \overrightarrow{r}.(\widehat{i}-4\widehat{j}-2\widehat{k})=2

The line of intersection of planes

\overrightarrow{r}.(3\widehat{i}-\widehat{j}+\widehat{k})=1 \text { and } \overrightarrow{r}.(\widehat{i}-4\widehat{j}-2\widehat{k})=2

Can be written as 3x - y + z = 1                                                       ……………… (i)

                               x + 4y - 2z = 2                                                      ……………  (ii)

Solving eqn (i) & (ii)

\frac{x}{-2}=\frac{y}{7}=\frac{z}{13}

Vector equation is

-2\widehat{i}+7\widehat{j}+13\widehat{k}

Posted by

Gurleen Kaur

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