Question: Let u be the vector consisting of the first 3 digits of your student ID number and v be the vector consisting of the last

Let u be the vector consisting of the first 3 digits of your student ID number and v be the vector consisting of the last 3 digits of your student ID number. For example, if my student ID was 1234567, I would have u= (1,2,3) and v= (5,6,7). (c) Give an example of a 7-digit ID number for which the vectors uand vare orthogonal. (d) Can any ID number give an angle between 2 and ? Explain your answer. (e) Define a line as l = u+ tv,t R. Does the line l intersect the line x= (1,1,0) + s(0,1,1),s R? If it does, find the point where they meet. If they don't meet, explain why.

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