The first part of the problem was easy enough as was finding the directions of the other two, but I am having trouble finding the correct angle for the last two cross products in order to find the magnitude.
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I have given all information that was provided. Vector A has a magniude of 8 along the positive x axis, Vector B starts at the end of vector A running parallel to the y axis and a magnitude of 6, Vector C connects the head of Vector B to the tail of Vector A. Basicly a 45-45-90 right triangle is created by the vectors.
I know you have. But I can't see what you have done so far and why you think you are stuck now. So please show which relevant equation you are trying to apply and show your attempt at solution. I want to help you find the right next step yourself -- the answer is after all not important; it's your ability to do the exercise yourself that we want to achieve ...
And the 3 4 5 Pythagorean triangle is definitely not a 45 45 90 !