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In each of the following cases, determin...

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

The correct Answer is:
`(8)/(5)`
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In each of the following cases,determine the direction cosines of the normal to the plane ned its distance from the origin: z=2

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Knowledge Check

  • The directions cosines of the normal to the plane 2x-y +2z =3 are

    A
    ` ( 2)/(3) ,(-1)/(3) , (2)/(3)`
    B
    ` (-2)/(3),(1)/(3),(-2)/(3)`
    C
    ` 2,-1,2`
    D
    ` -2,1,-2`

  • The direction cosines of the normal to the plance 4x + 8y + z= 5 are

    A
    `(4)/(5),(8)/(5),(1)/(5)`
    B
    `(4)/(9),(8)/(9),(1)/(9)`
    C
    `(4)/(45),(8)/(45),(1)/(45)`
    D
    `(4)/(3),(8)/(3),(1)/(3)`

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