darsh,Popular 365 Question

Plane PI has eqn 5x+4y-2z=14. Plane P is perpendicular to PI and has eqn ax+3y+z=16. Find the value of a.?

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3 months ago 2

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  1. Pope

    If the planes are perpendicular, so are their normal vectors. The dot product of the normal vectors must equal zero.

    <5, 4, -2> · <a, 3, 1> = 0
    5a + (4)(3) + (-2)(1) = 0
    a = -2

  2. J

    The dot product <5,4,-2> . <a,3,1> must be 0 so 5a+12-2=0 so a=-2

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