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The unit vector normal to the plane x + ...

The unit vector normal to the plane x + 2y + 3z - 6 = 0 is `(1)/(sqrt(14))bari+(2)/(sqrt(14))barj+(3)/(sqrt(14))bark`.

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Find a unit vector normal to the plane through the points (1, 1, 1), (-1, 2, 3) and (2, -1, 3) .

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Knowledge Check

  • The normal unit vector of the plane x-3y + 2z = 6 is ............

    A
    `(1,-3,2)`
    B
    `(1/6,1/2,1/3)`
    C
    `((-1)/(sqrt(14)),(3)/(sqrt(14)),(-2)/(sqrt(14)))`
    D
    `((1)/(sqrt(14)),(3)/(sqrt(14)),(2)/(sqrt(14))`

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