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Find an equation of a plane making an angle of pi/2 with the plane -3x-y+4z=-2

Find an equation of a plane making an angle of pi/2 with the plane -3x-y+4z=-2
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Find an equation of a plane making an angle of pi/2 with the plane -3x-y+4z=-2

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User Peterxz
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1 Answer

1 vote
you just need a vector that is perpendicular to the normal vector for your plane. Your normal is <3, 1, -4>. An orthogonal vector is
<4, 0, 3>

The plane through the origin with this as it's normal is
4x + 3z = 0
answered
User MinhNguyen
by
7.9k points
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