Im slightly stuck with Vectors

[silverspawn]

Im trying my hand at vectors trying to grasp more about object in a 2d and 3d space but struggling wondering if anyone could help at all:) got the basic concept out the way of vectors to having hard time grasping the next stage

If a 2d line passes though Po(10,15) and P1(150,300) I am trying to find the equation of the line ?

And also find the distance from point P(-500,400) to the line?

Thnaks in advance

[Maya]

pythagorean theorem for calculating distance between points in 3d space .

square_root(x_diff*x_diff + y_diff*y_diff + z_diff*z_diff)

with this type of formula the * calculations are executed before the + calculations so you could bracket these and do them first .

in your case with 2d you can drop off the z calculation

[Maya]

One thing i forgot to post was the way i do it in c++ if you know anything about c++ classes then give this a try .

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public int Distance2D(int x1, int y1, int x2, int y2)
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{
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// ______________________
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//d = √ (x2-x1)^2 + (y2-y1)^2
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//
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//Our end result
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int result = 0;
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//Take x2-x1, then square it
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double part1 = Math.Pow((x2 - x1), 2);
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//Take y2-y1, then sqaure it
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double part2 = Math.Pow((y2 - y1), 2);
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//Add both of the parts together
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double underRadical = part1 + part2;
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//Get the square root of the parts
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result = (int)Math.Sqrt(underRadical);
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//Return our result
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return result;
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}