Test Bank For Linear Algebra A Modern Introduction 5th Edition by David Poole Copyright 2026 Section 1.0 - 1.4 1. If u • v = 0, then ||u + v|| = ||u – v||. a. True b. False 2. If u • v = u • w, then either u = 0 or v = w. a. True b. False 3. a • b × c = 0 if and only if the vectors a, b, c are coplanar. a. True b. False 4. The distance between two points in
n
located by the vectors u and v is ||u – v||.
a. True b. False 5. If v is any nonzero vector, then 6v is a vector in the same direction as v with a length of 6 units. a. True b. False 6. The only real number c for which [c, –2, 1] is orthogonal to [2c, c, –4] is c = 2. a. True b. False 7. The projection of a vector v onto a vector u is undefined if v = 0. a. True b. False 8. The area of the parallelogram with sides a, b, is
||
||
a. True b. False 9. If a, b, c are mutually orthogonal vectors in
2
2
2
2
, then (a × b • c) = ||a|| ||b|| ||c|| .
a. True b. False 10. For all vectors v and scalars c, ||cv|| = c||v||. a. True b. False Copyright Cengage Learning. Powered by Cognero.
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