book Maths Puzzle Numerical Ability

Find a vector x with ||x||=2 that has the same direction as the vector defined by the points A(3,2,1) and B(1,-1,0).
The opposite direction?

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book Other Question

If P=x+1/x-1 and Q=x-1/x+1, find P^2+Q^2-PQ. (p^3+p^2-p+890)/ (p+10)

solve for p and explain how