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Find the angle between the vectors. (Round your answer to two decimal places.) u = (-5, 3), v = (-4, 0), (u, v) = 2₁v₁ +4₂V₂ 0 = radians Need Help? Watch It Find (u-2v) (2u - v), given that u u = 5, u v = 6, and v⋅v = 9. Need Help? Watch It Find the angle between the vectors. (Round your answer to two decimal places.) u =(4,3), v = (-5, 12), (u, v) = u. v 0= radians

Find the angle between the vectors. (Round your answer to two decimal places.) u = (-5, 3), v = (-4, 0), (u, v) = 2₁v₁ +4₂V₂ 0 = radians Need Help? Watch It Find (u-2v) (2u - v), given that u u = 5, u v = 6, and v⋅v = 9. Need Help? Watch It Find the angle between the vectors. (Round your answer to two decimal places.) u =(4,3), v = (-5, 12), (u, v) = u. v 0= radians

Elementary Linear Algebra (MindTap Course List)
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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Suppose that u, v, and w are vectors in an inner product space such that (u, v) = 1, (u, w) = 6, (v, w) = 0 ||w|| = 2. ||u|| = 1, ||v|| = √5, Evaluate the expression. ||u + v|| For what values of a and ß will the vector (a, 1, ß) be orthogonal to (2, 0, 4) and (-1, 1, 2)? α = B = Suppose that u, v, and w are vectors in an inner product space such that (u, w) = 5, (v, w) = 0 (u, v) = 1, |||u|| = 1, ||v|| = √3, |||w|| = 5. Evaluate the expression. -55 (2vw, 4u + 2w) X
Transcribed Image Text:Suppose that u, v, and w are vectors in an inner product space such that (u, v) = 1, (u, w) = 6, (v, w) = 0 ||w|| = 2. ||u|| = 1, ||v|| = √5, Evaluate the expression. ||u + v|| For what values of a and ß will the vector (a, 1, ß) be orthogonal to (2, 0, 4) and (-1, 1, 2)? α = B = Suppose that u, v, and w are vectors in an inner product space such that (u, w) = 5, (v, w) = 0 (u, v) = 1, |||u|| = 1, ||v|| = √3, |||w|| = 5. Evaluate the expression. -55 (2vw, 4u + 2w) X
Find the angle between the vectors. (Round your answer to two decimal places.) u = (-5, 3), v = (-4, 0), (u, v) = 2u₁V₁ + U₂V₂ 0 = radians Need Help? Watch It Find (u-2v) (2u - v), given that u u = 5, u v = 6, and v.v = 9. Need Help? Watch It Find the angle between the vectors. (Round your answer to two decimal places.) u = (4,3), v = (-5, 12), (u, v) = u. v 0 = radians Let T: R³ R3 be a linear transformation such that 7(1, 0, 0) = (-1, 4, 2), 7(0, 1, 0) (-2, 1, 3), and 7(0, 0, 1) = (-2, 2, 0). Find the indicated image. T(-3, 1, 0) T(-3, 1, 0) =
Transcribed Image Text:Find the angle between the vectors. (Round your answer to two decimal places.) u = (-5, 3), v = (-4, 0), (u, v) = 2u₁V₁ + U₂V₂ 0 = radians Need Help? Watch It Find (u-2v) (2u - v), given that u u = 5, u v = 6, and v.v = 9. Need Help? Watch It Find the angle between the vectors. (Round your answer to two decimal places.) u = (4,3), v = (-5, 12), (u, v) = u. v 0 = radians Let T: R³ R3 be a linear transformation such that 7(1, 0, 0) = (-1, 4, 2), 7(0, 1, 0) (-2, 1, 3), and 7(0, 0, 1) = (-2, 2, 0). Find the indicated image. T(-3, 1, 0) T(-3, 1, 0) =
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