Let A = -2i + 3j + 5k, B = i + 3j - 4k, and C = 4i - 2j + k. Find: a) (A \times B); b) (A \times B) \cdot C; c) A \cdot (B \times C); d) a unit vector normal to both B and C.
Added by Angela S.
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C, we can use the dot product formula: (A x B) . C = (-12 - 3S)(4) + (8 - S)(-2) + 3(1) = -48 - 12S - 16 + 2S + 3 = -61 - 10S c) To find A . (B x C), we can use the dot product formula: A . (B x C) = (-2)(-2 - 2) + (3)(4 - 4) + (S)(-8 + Show more…
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