SOLUTION: Let u and v be non-zero vectors in R^3 in standard position. Prove that if u and v are of length rcm each, where r is an element of R and r is greater than 0, then their tips lie o

Algebra ->  College  -> Linear Algebra -> SOLUTION: Let u and v be non-zero vectors in R^3 in standard position. Prove that if u and v are of length rcm each, where r is an element of R and r is greater than 0, then their tips lie o      Log On


   



Question 1122624: Let u and v be non-zero vectors in R^3 in standard position. Prove that if u and v are of length rcm each, where r is an element of R and r is greater than 0, then their tips lie on the surface of a sphere of radius rcm.
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


???!!!

What kind of "proof" do you want?

A sphere with center at the origin and radius r cm consists of all the points that are r cm from the origin.

If u and v are both vectors of length r cm in R^3 in standard position, then the ends of those vectors are two of the infinite number of points that make up the sphere.