Verify the Pythagorean Theorem for the vectors u and v. u = (-1, 3, –4), v = (4, 0, –1) STEP 1: Compute u · v. Are u and v orthogonal? Yes No STEP 2: Compute ||u ||2 and ||v||2. ||u ||? = ||? = STEP 3: Compute u + v and |u + v||2. (3,3, – 5) u + v = ||u + v||? STEP 4: Is the statement ||u + v||2 = ||u||2 + ||v||2 true? Yes O No ||
Verify the Pythagorean Theorem for the vectors u and v. u = (-1, 3, –4), v = (4, 0, –1) STEP 1: Compute u · v. Are u and v orthogonal? Yes No STEP 2: Compute ||u ||2 and ||v||2. ||u ||? = ||? = STEP 3: Compute u + v and |u + v||2. (3,3, – 5) u + v = ||u + v||? STEP 4: Is the statement ||u + v||2 = ||u||2 + ||v||2 true? Yes O No ||
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 87E
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