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  • Need solution for RD Sharma maths class 12 chapter 28 The Plane exercise Fill in the blank question 15

Need solution for RD Sharma maths class 12 chapter 28 The Plane exercise Fill in the blank question 15

Answers (1)

Answer:

 x + y + z = 2  is the required Cartesian product

Hint:

 Use vector product

Given:

 \vec{r}.\left ( \hat{i}+\hat{j}+\hat{k} \right )=2

Solution:

We have,

\begin{aligned} &\vec{r}.\left ( \hat{i}+\hat{j}+\hat{k} \right )=2\\ &\Rightarrow (x\hat{i}+y\hat{j}+z\hat{k}).\left ( \hat{i}+\hat{j}+2 \right )=2\\ &\Rightarrow x+y+z=2 \end{aligned}

Posted by

Gurleen Kaur

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