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Vectors and Geometry

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if A=i+j, B=2i-3j+k and C=4j-3k

find
(i) (AxB)xC & Ax(BxC)

  • Vectors and Geometry - ,

    I'll start this out, using the determinant rule for vector cross products. You do the last part, and check my work for errors.

    A x B =
    |i j k|
    |1 1 0|
    |2 -3 1| = i -j -5k

    (AxB) x C =
    |i j k|
    |1 -1 -5|
    |0 4 -3| = 17i + 3j +4k

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