Section 10-3: Vectors in Space

This section covers...3D VECTORS!!! Dont worry, it sounds scarier than it looks. This section is actually really simple because it is almost exactly the same as section 10-2. The only difference is that you add an extra number to the equation. Instead of just i and j, we now have k to deal with as well. The graph of a 3D vector is also slightly different than a 2D vector. Instead of having just an x-axis and a y-axis, it has an x, a y, and a z-axis. A 3D vector graph also has octants in replace of quadrants. The first octant is the region in which x, y, and z are all positive.

Graph of 3D vector

*To find the magnitude of a 3D vector, you use the same equation that you did for a 2D vector, except you add k to it.

Example 1

Example 2

What would 20% of vector AB be?

CRAZYCOOL mATH WEbsites

http://www.geocities.com/SiliconValley/2151/math3d.html

http://vvvv.org/tiki-index.php?page=3d+vector+mathemathics

Pope Leo X, you're up next!!!