1.

Write the equation of the plane ` 3x + 4y - 2z = 5 ` in the vector form .

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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