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In the given equation use computer algebra to verify that a

Question: In the given equation, use computer algebra to verify that [a, b, c] = [c, a, b] = -[a, c, b].

1) a = i + j + k . b = 2 i + j - k . c = 3i - j + k .

2) a = i - j - k . b = -5i + 2j - 3k . c = 2i + 3j - 2k .

3) a = -3i - 4j + k, b = 9i + 12j - 3k, c = i + 2j + k.

4) a = 3i + 4k , b = i + 5k , c = 2j + k.

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