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In each of the following cases, determi...

In each of the following cases, determine the direction cosines of the normal to the plane and the distance from the origin.(a) `z = 2` (b) `x + y + z = 1` (c) `2x + 3y - z = 5`(d) `5y + 8 = 0`

Text Solution

Verified by Experts

2x+5y-z=5
`(xhati+yhatj-zhatk)*(2hati+3hatj-hatk)=5`
`sqrt(2^2+3^2+(-1))=sqrt14`
`dr's=(2,3,-1)`
`dc's=(2/sqrt14,3/sqrt14,-1/sqrt14)`
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