Wednesday, August 1, 2007

A Very Very Very LATE POST on Vectors...

Just wonderin if I can still post this whole thing up... It's better late than never, ayt? Here's what I understood about that matter...

The component method of addition can be summarized this way:

+Using trigonometry, find the x-component and the y-component for each vector. Refer to a diagram of each vector to correctly reason the sign, (+ or -), for each component.

+Add up both x-components, (one from each vector), to get the x-component of the total.

+Add up both y-components, (one from each vector), to get the y-component of the total.

+Add the x-component of the total to the y-component of the total then use the Pythagorean theorem and trigonometry to get the size and direction of the total.


Let's take this all one step at a time:
>First, let's visualize the x-component and the y-component of d1.

>The two components along with the original vector form a right triangle.

>Therefore, we can use right triangle trigonometryto find the lengths of the two components.

>That is, we can use the 'SOH-CAH-TOA' type of definitions for the sine, cosine, and tangent trigonometry functions.

>Now, using trigonometry like this will not tell us the sign, (+ or -), of this component, (or any other).

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