Question
Find the specified vector or scalar. Show your work.
u = -4i + 1j and v = 4i + 1j; Find ‖𝑢 + 𝑣‖.
u = -4i + 1j and v = 4i + 1j; Find ‖𝑢 + 𝑣‖.
Answers
Damon
I am not sure I understand your symbol. (absolute value?)
anyway
u + v = 2 j
the magnitude of 2 j is 2
anyway
u + v = 2 j
the magnitude of 2 j is 2
Ciara
Can you show your work please ? and that's what the question says exactly
Damon
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.
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.
Ciara
Thank you !! Can you help with my other two questions i had post ?