Question

Find the specified vector or scalar.
u = -4i + 1j and v = 4i + 1j; Find ‖u+v‖.
A. √34
B. 8
C. 2
D. 5

Answer 1

Hey Sam c:
I find that vectors are easier to work with in `component form`.
So let's start by finding the sum of u and v.\[\Large\rm <-4,1>+<4,1>=<0,2>\]Yah? :d

Answer 2

And then to find the magnitude of that vector, we take the square root of the sum of the squares of each component.\[\Large\rm ||<0,2>||=\sqrt{0^2+2^2}\]This one might have been a little bit easier to think about intuitively.
After you do the addition, you longer have a `diagonal` line.
So we don't actually need to do this formula.

You have a line going straight up, by 2.
So it has a length of ..... 2, yah? :d

Answer 3

Yay thank you :)