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mike
mike asked in Science & MathematicsMathematics · 5 years ago

Intersection of planes question?

If the triple scalar product of the normals is 0, and none of the normals are scalar multiples of each other, does that mean that the 3 planes will always intersect in a line?

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  • Keith A
    Lv 6
    5 years ago
    Favorite Answer

    “Triple scalar product” means that there are three planes.

    a.bc = 0, with b not parallel to c; so bc ≠ 0.

    So a is perpendicular to bc.

    In fact, the three are mutually perpendicular.

    So the three planes meet in a single point.

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