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# Show that the vectors, A = i – 2j +k, B = 3i + - j + k, C = i + 4j +7k are mutually orthogonal to A.?

Show that the vectors, A = i – 2j +k, B = 3i + - j + k, C = i + 4j +7k are mutually orthogonal to A.

### 2 Answers

- PhysicsDudeLv 71 decade agoFavorite Answer
If B and C are mutually orthogonal to A, then A • B = 0 and A • C = 0

A • B = 3 + 2 + 1 = 6

A • C = 1 - 8 + 1 = 0

A is orthogonal to C but not to B

If B = 3i + j - k, then A • B = 3 - 2 - 1 = 0

I think you got your B vector wrong.

- gilcoineLv 44 years ago
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