Chapter 10: Q. 74 (page 826)
Let u, v, andw be vectors in . Prove that if and only if u is parallel to .
Short Answer
Hence, we prove that if and only if u is parallel to .
Chapter 10: Q. 74 (page 826)
Let u, v, andw be vectors in . Prove that if and only if u is parallel to .
Hence, we prove that if and only if u is parallel to .
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Get started for freeWhat is Lagrange’s identity? How is it used to understand the geometry of the cross product?
In Exercises 22–29 compute the indicated quantities when
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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.
Find a vector of length 3 that points in the direction opposite to.
Give an example of three vectors in that form a right-handed triple. Explain how you can use the same three vectors to form a left-handed triple.
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