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If vec(a)vec(b)vec(c ) and vec(d) are ve...

If `vec(a)vec(b)vec(c ) and vec(d)` are vectors such that `vec(a) xx vec(b) = vec(c ) xx vec(d) and vec(a) xx vec(c ) = vec(b)xxvec(d)`. Then show that the vectors `vec(a) -vec(d)` and `vec(b) -vec(c )` are parallel.

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