Question: 24. If A and B are nonzero vectors, prove that the vector A - cB is orthogonal to Bif c = A . B/|B)?. 25.

 24. If A and B are nonzero vectors, prove that the
vector A - cB is orthogonal to Bif c = A .

24. If A and B are nonzero vectors, prove that the vector A - cB is orthogonal to Bif c = 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 is orthogonal to B

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