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NCERT Class XII Mathematics Chapter - - Solutions

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Question 31 - 33: Find the cartesian equation of the following planes:
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Question : 32 of 78
Marks: +1, -0
r→⋅(i^+j^−k^)=2\overrightarrow{r} \cdot (\hat{i} + \hat{j} - \hat{k}) = 2
Solution:  
We have : r→⋅(i^+j^−k^)=2\overrightarrow{r} \cdot (\hat{i} + \hat{j} - \hat{k}) = 2
⇒(xi^+yj^+zk^)⋅(i^+j^−k^)=2\Rightarrow ( \widehat{xi} + \widehat{yj} + \widehat{zk} ) \cdot ( \hat{i} + \hat{j} - \hat{k} ) = 2
⇒ x + y – z = 2, which is the required cartesian equation.
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