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 freeIn 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.
Write a delta–epsilon proof that proves that is continuous on its domain. In each case, you will need to assume that δ is less than or equal to .
Calculate each of the limits:
.
Find the norm of the vector.
If u and v are nonzero vectors in , what is the geometric relationship between and ?
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