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Write the equation of the plane ` 3x + 4y - 2z = 5 ` in the vector form . |
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Answer» Given , the equation of the plane ` (3x + 4y - 2z = 5 )` Let `barr = xhati + yhatj + zhatk` be any vector in the plane and 3, 4, -2 are direction rations of `barn ` , which is normal to the plane . ` rArr barn = 3hati + 4hatj - 2hatk ` ` rArr (xhati + yhatj + zhatk) . (3hati + 4hatj - 2hatk) = 5 ` `rArr barr. (3hati + 4hatj - 2hatk) = 5` which is the required form . |
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