book Maths Puzzle Numerical Ability

Find an orthogonal basis of the following subspace L = span (v1,v2,v3), where v1=(0,0,1,1), v2=(1,0,1,0), v3=(0,1,-1,-1)

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book Other Question

Working on a Geometry crossword puzzle I am stuck on the last one!

Clue: the part of the shape it sits on

Answer: 4 letters -- 3rd letter is an s

Please help!
If $10,000 and $4000 are invested such that $1250 is earned in one year, and if the rate of interest on the larger investment is 2% more than that of the smaller investment, find the rates of interest.