Find A X B and A . B if A= 5i^- 4j^+2k^ and B= i^-3j^+7k^
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Explanation:
(i) A * B
= i(-4 * 7 - 2 * -3) - j(5 * 7 - 2 * 1) + k(5 * -3 + 4 * 1)
= i(-28 + 6) - j(35 - 2) + k(-15 + 4)
= -22i - 33j - 11k
(ii) A.B
= 5 * 1 + (-4) * (-3) + 2 * 7
= 5 + 12 + 14
= 31
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