book Maths Puzzle Numerical Ability

The lines satsifying the equations x + dy=3 and 3y +ax=2 are perpendicular to each other find a

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book Other Question

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?
Solve the equation log^8(3x-1)=log^8(x+4).

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