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Consider the following vectors u and v: IF u o v = 0 and u x v= 0 what if anything can vo u conclude a bout the vectors u and v2

Consider the following vectors u and v: IF u o v = 0 and u x v= 0 what if anything can vo u conclude a bout the vectors u and v2

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 44E: By definition, a hyperbola is the locus of points whose positive difference of distances from two...
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I do need help with part 2 of following attachment. I already have answer for part one.

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 (xo, Yo, Zo) and the radius r is (x - xo)2 + (y-yo)² + (z-zo)² = r2 [Hint: Use the distance Formula.] P = (x, y, z) Po = (Xo, Yo, Zo) y Part 2 Consider the following vectors u and v: IF v = 0 and u x v= 0 what, if anything, can you conclude about the vectors u and v?
Transcribed Image Text: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 (xo, Yo, Zo) and the radius r is (x - xo)2 + (y-yo)² + (z-zo)² = r2 [Hint: Use the distance Formula.] P = (x, y, z) Po = (Xo, Yo, Zo) y Part 2 Consider the following vectors u and v: IF v = 0 and u x v= 0 what, if anything, can you conclude about the vectors u and v?
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