Is My Vector Magnitude Calculation Correct?

[Math9999]

Homework Statement

If \parallel u\=2, \parallel v\=√3, and u*v=1, find \parallel u+v\.

Homework Equations

None.

The Attempt at a Solution

(u+v)(u+v)=(\parallel u\)²+2uv+(\parallel v\)²=4+3+2=9
\parallel u+v\\=3
So the answer I got is 3. Am I right? If not, then please correct me.

 

[vela]

Looks good to me.

 

[Mark44]

If \parallel u\=2, \parallel v\=√3, and u*v=1, find \parallel u+v\.

Your notation is difficult to read. For magnitudes, which I think is what you're trying to convey here, just use the "pipe" character - |. On my keyboard it is above the backslash key, \.

 

[Math9999]

If ||u||=2, ||v||=√3, and u⋅v=1, find ||u+v||.

Here's my work:
||u+v||²=(u+v)(u+v)=||u||²+2uv+||v||²=4+3+2=9
||u+v||=3
So the answer I got is 3. Am I right? If not, then please correct me.

 

[vela]

Still looks good to me.

 

[Math9999]

Thank you so much!