10.3#5

this:
I am not sure where i have made my mistake on this problem, i took the
cross product of the vectors given <1,1,0>x<0,1,-5>  which gave me the new
orthogonal vector <-6,5,1> but since this problem needs the orthogonal
vector to have an i component that is equal to 1, i divided the 5 and 1 by
-6 getting the resultant vector <1,-5/6,-1/6>. Web work is saying that this
answer is incorrect. Is my set up wrong? Is the method for finding the
answer different that what i am attempting?
and this:
in response to the previous email, my set up was right, i ended up making a
small computational error while doing the cross product, i should have
equalled -5 not -6, throwing my answer off. Ended up getting the right
answer.

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Glad you figured it out on your own, this is the best possible outcome, especially because you learn to catch your own algebraic and arithmetic errors.