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JEE Math Practice Question

The vector equation of the plane passing through the intersection of the planes $$\overrightarrow r .\left( {\widehat i + \widehat j + \widehat k} \right) = 1$$ and $$\overrightarrow r .\left( {\widehat i - 2\widehat j} \right) = - 2$$, and the point (1, 0, 2) is :

  1. A.$$\overrightarrow r .\left( {\widehat i + 7\widehat j + 3\widehat k} \right) = {7 \over 3}$$
  2. B.$$\overrightarrow r .\left( {\widehat i + 7\widehat j + 3\widehat k} \right) = 7$$
  3. C.$$\overrightarrow r .\left( {3\widehat i + 7\widehat j + 3\widehat k} \right) = 7$$
  4. D.$$\overrightarrow r .\left( {\widehat i - 7\widehat j + 3\widehat k} \right) = {7 \over 3}$$

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