Suppose u and v are known nonzero vectors in R 3 . a. Prove that the equation
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Suppose u and v are known nonzero vectors in R3.
a. Prove that the equation u × z = v has a nonzero solution z if and only if u • v = 0. Take the dot product of both sides with v.
b. Explain this result geometrically.
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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