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Find the vector and cartesian equation o...

Find the vector and cartesian equation of the planes that passes through the point (1, 0, -2) and the normal to the plane is `hat(i) + hat(j) - hat(k)`. 

Text Solution

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The correct Answer is:
`(r - {hat(i) - 2hat(k)}].(hat(i) + hat(j) - hat(k)) = 0` and `x + y - z = 3`
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Find the vector equation of the plane passing through the intersection of the planes vecr.(hat(i) + hat(j) + hat(k)) = 6 and vecr.(2hat(i) + 3hat(j) + 4hat(k))= - 5 and the point (1, 1, 1).

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