Chapter 10: Q. 13 (page 824)
Give an example of three nonzero vectors u, v and w in such that but . What geometric relationship must the three vectors have for this to happen?
Short Answer
Let .
If , then u is parallel to .
Chapter 10: Q. 13 (page 824)
Give an example of three nonzero vectors u, v and w in such that but . What geometric relationship must the three vectors have for this to happen?
Let .
If , then u is parallel to .
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Get started for freeIf u and v are vectors in such that and , what can we conclude about u and v?
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What is the definition of the cross product?
In Exercises 36–41 use the given sets of points to find:
(a) A nonzero vector N perpendicular to the plane determined by the points.
(b) Two unit vectors perpendicular to the plane determined by the points.
(c) The area of the triangle determined by the points.
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