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Thank you so much for taking the time to answer my question. I have looked at this question for so long but can't figure out where to start. Any help you can give is very much appreciated. I've attached the question because it is easier to draw teh vectors rather than to try and write them.
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Question- Use a general case to prove the following properties in 3-D. Support each proof with an example.
a) please see attached document
2. Please see the attached document.
I believe that the sum of two vectors is in the same plane as the two vectors. Since they are both orthogonal to the other vector, that would make the sum orthogoanal as well since the third vector is orthogonal to all vectors in the plane of the other two vectors. That's all I see that can be said.
To justify it, work it out with individual vectors (u1,u2,u3), (v1,v2,v3), and (w,w2,w3) witht the assumptions given. This involves the associative law.
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