Question

I have no clue how to do this one. Find the specified vector or scalar.

u = -4i + 1j and v = 4i + 1j; Find ‖u+v‖.

Answer 1

yes that is all the info given

Answer 2

\[u=-4i+1j\]
\[v=4i+1j\]

\[||u+v||=\sqrt{(u_{1}^{2}+v_{1}^{2})+(u_{2}^{2}+v_{2}^{2})}\]

so do u+v

u+v=(-4i+4i) + ( 1j+1j)=0i + 2j = 2j

so the magnitude of this vector becomes
\[||u+v||=\sqrt{(0)^{2} + (2)^{2}}\]

Answer 3

so that is the specified vector?

Answer 4

the specified vector or scalar, is ||u+v||, so yes

Answer 5

you can finish the rest

Answer 6

right thanks