exam Maths Puzzle Numerical Ability

How can I proove that, given a triangle ABC in rn, the perpenticulars from each side to a vertex meet in the orthocenter, BUT through vectors? Thanks!!:D

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exam Other Question

What are the conditions when the sum of a positive number and several negative numbers will be positive?
When you add the negative numbers together and they equal less than the positive number.
Simplify [(3/4)^2 - (1/3)^3] * 3^2

(3^2/4^2) - (1^3/3^3) * 3^2
9/16 - 1/27 *9

I am not sure if i am headed in the right direction. Is this simplified? Or do i have to solve? Thank you