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Three Dimensional Geometry Test - 9

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Three Dimensional Geometry Test - 9
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  • Question 1
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    In the following case, determine whether the given planes are parallel orperpendicular, and in case they are neither, find the angles between them. 2x + y + 3z – 2 = 0 and x – 2y + 5 = 0

    Solution

    We have ,2x + y + 3z – 2 = 0 and x – 2y + 5 = 0. Let θ  be the angle between the planes, then
    As a1a+ b1b+ c1c=2(1) + 1(-2)+3(0)=0.
    Therefore , the given planes are perpendicular to each other.

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