By Ryan McGuire on the 10th of January, 2013

a vector is also known as a line and in other cases, a ray(most commonly) in geometry, a ray is determined as a stating point with some other point it has to cross through in a straight path a vector functions the same way... it has an origin, and continues to some other point creating a ray. now rays go in a path, while vectors can be labeled with directional components( mostly from a physics point of view) but in geometry it usually gives you a degree measurement or a North, South, East, West direction to use. Vectors can show the length from 1 point to the next, in what direction they head, and possibly the speed of an item as it moves along the vector.

Refine By mlagjo on the 16th of January, 2013

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When simplifying algebraic expressions you must remember that fractions with numbers on the top and the bottom can be simplified by cancelling down.

Remember, whatever you do on the top, you must do on the bottom

e.g. 3/9 = 1/3

What we have done here effectively is divide by 3 on the top, and divide by 3 on the bottom.

The same can be done for fractions that have unknowns on the top and on the bottom.

e.g. 4a^{2}/a^{5} = 4/a^{3}

Remember a^{2} = aa, a^{5} = aaaaa, so a^{2} cancels out on the top, and on the bottom.

For the above example we must simply minus the indices.

There are several kinds of fraction that are considered to be more complex to simplify, for example:

(3x^{2}-16x-35)/(9x^{2}-25) = (3x + 5)(x - 7) / ( 3x + 5)(3x - 5) = (x-7)/(3x-5)

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