24. If A and B are nonzero vectors, prove that the vector A- cB is orthogonal to B if e= A· B/|B. 25. If A- 12i + 9j - 5k and B- 4i + 3j - 5k, use the result of Exercise 24 to find the value of the scalar c so that the vec- tor B - CA is orthogonal to A. 26. For the vectors of Exercise 25, use the result of Exercise 24 to find the value of the scalar d so that the vector A- dB
24. If A and B are nonzero vectors, prove that the vector A- cB is orthogonal to B if e= A· B/|B. 25. If A- 12i + 9j - 5k and B- 4i + 3j - 5k, use the result of Exercise 24 to find the value of the scalar c so that the vec- tor B - CA is orthogonal to A. 26. For the vectors of Exercise 25, use the result of Exercise 24 to find the value of the scalar d so that the vector A- dB
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 101E: Consider the vectors u=(6,2,4) and v=(1,2,0) from Example 10. Without using Theorem 5.9, show that...
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