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Home Q & A Board Science-Related Homework Help Physics
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findingnemo41 findingnemo41
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11 years ago
Show that if a vector V is orthogonal to two noncollinear vectors in a plane P, then V is orthogonal to every vector in P.
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#1
11 years ago
Every vector in the plane can be written as a linear combination of those two noncollinear vectors. They're linearly independent. They form a basis.

So express an arbitrary vector w as a linear combination of those two basis vectors, then take the dot product with V.
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