does x^2+y^2+z^2 equal 1?

Question

mayaal · Answer

Yes I think so....!

anonymous · Answer

ohh okay perfect so if I have a a square root of (4x^2 + 4y^2 + 4z^2), then i can factor out the 4, and have x^2+y^2+z^2 =1, and then i will be left with sq.root(4)?

ybarrap · Answer

take, x=1, y=1, z=1, then x^2+y^2+z^2=3

anonymous · Answer

no but there aren't any given values for x y and z

ybarrap · Answer

So, generally this equation is not true, except for some sets of x,y and z. So generally the equation does not equal 1

anonymous · Answer

ohhhhh okay. i was thinking of how generally, sin^2+cos^2=1 so i thought this might work for my equation...

ybarrap · Answer

yes, it reminds us of that equation, but that equation is justified because it is the hypotenuse of the unit circle is always 1, x^2 + y^2 + z^2 = 1 is a sphere of unit radius. Not all spheres have unit radii.

anonymous · Answer

oohhh okay thanks then! :-)

ybarrap · Answer

good luck

anonymous · Answer

thanks I need all the luck i can get. lol have a calc exam next week :-(