Question

Find the specified vector or scalar. Show your work.
u = -4i + 1j and v = 4i + 1j; Find ‖𝑢 + 𝑣‖.

Answer 1

I am not sure I understand your symbol. (absolute value?)
anyway
u + v = 2 j

the magnitude of 2 j is 2

Answer 2

Can you show your work please ? and that's what the question says exactly

Answer 3

to add two vectors you can add the components in orthogonal (perpendicular) directions and the sum will have components in those directions

if u = a i + b j
and v = c i + d j
then
u + v = (a+c) i + (b+d) j
now here
u+v = (-4+4) i + (1+1) j
or
0 i + 2 j
which is magnitude 2 in the j (or y) direction because j is a unit vector in the y direction.

Answer 4

Thank you !! Can you help with my other two questions i had post ?