Let R4 have the Euclidean inner product. Find a unit vector with a positive first component that is orthogonal to all three of the following vectors. u = (1,-1, 8, 0), v = (5, 1, 0, 1), w = (1,0, 6, 1)

Let R4 have the Euclidean inner product. Find a unit vector with a positive first component that is orthogonal to all three of the following vectors. u = (1,-1, 8, 0), v = (5, 1, 0, 1), w = (1,0, 6, 1)

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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Question

Let R¹ have the Euclidean inner product. Find a unit vector with a positive first component that is orthogonal to
all three of the following vectors.
u = (1,-1, 8, 0), v = (5, 1, 0, 1), w = (1,0, 6, 1)

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