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Let R¹ have the Euclidean inner product. Find two unit vectors that are orthogonal to all three vectors u = (4, 3, −8, 0), v = = (-1,-1,2,2) and w= (3, 2, 3, 5). NOTE: Give the exact answers in increasing order of the first component. 89 3 (1) √89 8 √89 0 x₁ = X2 || 3 32129 20 √32129 6 √32129 178 32129 X X

Let R¹ have the Euclidean inner product. Find two unit vectors that are orthogonal to all three vectors u = (4, 3, −8, 0), v = = (-1,-1,2,2) and w= (3, 2, 3, 5). NOTE: Give the exact answers in increasing order of the first component. 89 3 (1) √89 8 √89 0 x₁ = X2 || 3 32129 20 √32129 6 √32129 178 32129 X X

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let R¹ have the Euclidean inner product. Find two unit vectors that are orthogonal to all three vectors u = (4, 3, −8, 0), v = = (-1,-1,2,2) and w= (3, 2, 3, 5). NOTE: Give the exact answers in increasing order of the first component. 89 3 (1) √89 8 √89 0 x₁ = X2 || 3 32129 20 √32129 6 √32129 178 32129 X X
Transcribed Image Text:Let R¹ have the Euclidean inner product. Find two unit vectors that are orthogonal to all three vectors u = (4, 3, −8, 0), v = = (-1,-1,2,2) and w= (3, 2, 3, 5). NOTE: Give the exact answers in increasing order of the first component. 89 3 (1) √89 8 √89 0 x₁ = X2 || 3 32129 20 √32129 6 √32129 178 32129 X X
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