Please help me with 2 attached problems.
In problem 6 I can imagine the space and guess which vectors are orthogonal to (1,-1,0) like (0,0,1) for example. However, I am not sure of my approach when I do it by hand.
I do not know how to approach problem 12. I am doing something completely wrong and especially need help with this problem.
Please see the attached file.
Note that the vector (0,0,1) is not orthogonal to (1,1,1) - at least not under the standard inner product.
You might want to try it the following way:
Write a general vector ...
Orthogonality, Orthonormal Basis and Orthogonal Complement are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.