Prove that if u and v are vectors in R^n...
then ...
llu+vll^2 + llu-vll^2 = 2 llull^2 + 2 llvll^2
2006-09-14 03:22:49 · 4 answers · asked by Candace C 1 in Science & Mathematics ➔ Mathematics
This isn't homework, I'm not stupid... I know the answer, I'm posting the question to see if anyone else did... and obviously no one does...
2006-09-14 03:29:05 · update #1
By definition llall^2=a*a for any vector a from R^n, "*" is a scalar product. For your equation you have:
llu+vll^2 + llu-vll^2=
(u+v)*(u+v)+(u-v)*(u-v)=
=u*u+u*v+v*u+v*v+
+u*u-u*v-v*u+v*v=
=2u*u+2v*v=
=2 llull^2 + 2 llvll^2
Happy End!
2006-09-14 04:05:47 · answer #1 · answered by sav 2 · 1⤊ 0⤋
im not sure i got down to
2llu=4llull^4
2006-09-14 03:34:42 · answer #2 · answered by kristiecollings 1 · 0⤊ 0⤋
DO YOUR OWN HOMEWORK!
2006-09-14 03:27:21 · answer #3 · answered by thewordofgodisjesus 5 · 0⤊ 0⤋
**** **** **** ****
2006-09-14 04:27:39 · answer #4 · answered by more1708_par 2 · 0⤊ 0⤋