Vectors in Space – 5 best ways to calculate
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.
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.