8 If w1, W2, W3 are independent vectors, show that the sums v₁ = w₂ + w3 and v2 = w₁+w3 and v3 = w₁+w2 are independent. (Write c₁v₁ + C2v2+C3V3 = 0 in terms of the w's. Find and solve equations for the c's, to show they are zero.)
8 If w1, W2, W3 are independent vectors, show that the sums v₁ = w₂ + w3 and v2 = w₁+w3 and v3 = w₁+w2 are independent. (Write c₁v₁ + C2v2+C3V3 = 0 in terms of the w's. Find and solve equations for the c's, to show they are zero.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 13E
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