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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}

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Gurleen Kaur

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