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13. Recall that nonzero vectors u and are called collinear if there exists = a nonzero scalar a such that 7 au. Show that u and are collinear if and only if u x v=0.

13. Recall that nonzero vectors u and are called collinear if there exists = a nonzero scalar a such that 7 au. Show that u and are collinear if and only if u x v=0.

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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3 13. Recall that nonzero vectors u and are called collinear if there exists a nonzero scalar a such that v = au. Show that u and are collinear if and only if u x v = 0.
Transcribed Image Text:3 13. Recall that nonzero vectors u and are called collinear if there exists a nonzero scalar a such that v = au. Show that u and are collinear if and only if u x v = 0.
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