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On: A IS tor while A is a scalar. |A|. If A B < 0, then the (smaller) angle between the vectors A and B is in the inte A.B For nonzero vectors A and B, the minimum value of the expression is |A||B| If A and kA are pointing opposite each other, and kA is longer than A, then k < If is the (smaller) angle between vectors A and B, then A × B = |A||B| sin If A x B = A x C, then B = = C.

On: A IS tor while A is a scalar. |A|. If A B < 0, then the (smaller) angle between the vectors A and B is in the inte A.B For nonzero vectors A and B, the minimum value of the expression is |A||B| If A and kA are pointing opposite each other, and kA is longer than A, then k < If is the (smaller) angle between vectors A and B, then A × B = |A||B| sin If A x B = A x C, then B = = C.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 1AEXP
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Which statements are true?

For statements with cross products, assume the vectors are in space, i.e., they have 3 components.

Note on notation: A is a vector while A is a scalar. The magnitude of A is A. If A B < 0, then the (smaller) angle between the vectors A and B is in the interval For nonzero vectors A and B, the minimum value of the expression A.B |A||B| is -1. If A and kA are pointing opposite each other, and kA is longer than A, then k < −1. If is the (smaller) angle between vectors A and B, then A × B = |A||B| sin 0. If A x B = A x C, then B = C. 00 ㅠ (75,-).
Transcribed Image Text:Note on notation: A is a vector while A is a scalar. The magnitude of A is A. If A B < 0, then the (smaller) angle between the vectors A and B is in the interval For nonzero vectors A and B, the minimum value of the expression A.B |A||B| is -1. If A and kA are pointing opposite each other, and kA is longer than A, then k < −1. If is the (smaller) angle between vectors A and B, then A × B = |A||B| sin 0. If A x B = A x C, then B = C. 00 ㅠ (75,-).
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