Question

=2. =-3, =5 ,||u||=1,||v||=2,||w||=7 find

Answer 1

\[v=<2\cos\theta,2\sin\theta>\]
any more information given?

Answer 2

yes, just pick a part of question which i don't know how to do, I am editing the question

Answer 3

\[<u+v,v+w>=<u+v,v>+<u+v,w>\\
\quad=<u,v>+<v,v>+<u,w><v,w>\]

Answer 4

the second part is what i ask on previous post. I stuck there only

Answer 5

<v.v? = ||v|| = 2 so?

Answer 6

yep.
\[<u+v,v+w>=(2)+(2)+(5)+(-3)=6\]

Answer 7

not that, ||v||= \[\sqrt{<v,v>}\] =2

Answer 8

---> <v,v>=4

Answer 9

aah