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Take 2 vectors on the plane, originating from the same point, that aren't parallel: P1-->P2 = P2-P1 = -4i+3j-kP1-->P3 = P3-P1 = 0i+0k-2kOne can then find the cross product of these two vectors to de...

First I would do the base case (the first value):Test n=1,11¹-6=5. 5 is divisible by 5 therefore true for n=1.
Now we assume true for n=k,11^k-6 is divisible by 5.Next we test n=...

Firstly, I would remember what differentiation shows - which is the rate of change of a function. I would think about how I could use this to show it's always increasing. Now the first derivative would sh...

This problem wants you to use De Moivre's theorem to prove a trigonometric identity.We will tackle this problem by taking the left hand side and using theorems and manipulation to show it is equivalent to...

If the point P' is a refection of point P in any plane, then both P and P' line on the line perpendicular to that plane. The equation of such line is easy to find: all we need is a point and the direction...