Posted: November 20th, 2020

# Vectors in Space : 5 Interesting Facts

## Vectors in Space

Part 1 The Sphere:  In space, the collection of all points that are the same distance from some fixed point is called a sphere. See the illustration below. The constant distance is called the radius, and the fixed point is the center of the sphere. Vectors in space

Show that the equation of a sphere with the center at (x0, y0, z0) and the radius r is(x – x0)2 + (y-y0)2 + (z-z0)2 = r2 [Hint: Use the distance Formula.]   Part 2  Consider the following vectors u and v: IF and what, if anything, can you conclude about the vectors u and v?Discuss your conclusion in detail.   Your response must be a minimum of 100 word for both questions.

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