Question

u=-4i+1j and v=4i+1j find ||u+v||.

Answer 1

Have you considered adding the two vectors?

Answer 2

just out of curiosity the i in the problem doesnt connect to the i symbol used in algebra does it

Answer 3

and what do you mean

Answer 4

'i' indicates one direction.
'j' indicates an orthogonal direction.

Just add them. How else can you calculate the magnitude of their sum?

Answer 5

im not understnding can you explain how i add them? there just letters as far as i can tell they have no given value

Answer 6

wait its not that easy is it???

Answer 7

i just add -4i and 1j?

Answer 8

Add these: (4dogs+ 2cats) + (1dog+3cats)

Answer 9

5 dogs and 5 cats

Answer 10

Perfect. Do that with 'i' and 'j'.

Answer 11

so my answer is u+v=1i and 2j

Answer 12

How did you get 1i? -4i + 4i = ??

Answer 13

-4+4

Answer 14

or is it 0 so u+v=2j

Answer 15

That's right.Since the 'i's went away, the magnitude is now trivial.

Answer 16

ohhh my bad it just seems to easy for a pre calc problem

Answer 17

Had there been a non-zero 'i', you would have needed the Distance Formula.

Answer 18

non zero i?

Answer 19

and also what are the lines on either side of u+v for

Answer 20

(i + 2j)+(i +j) = 2i + 3j

NonZero iand nonzero j

Answer 21

ohh

Answer 22

The lines indicate magnitude. It's value can be calculated with the distance formula.

Answer 23

do i need to do that

Answer 24

ohhh wait there was one other part of the problem i didnt see

Answer 25

Find the specified vector or scalar

Answer 26

does that mean anything else needs to be done?

Answer 27

The sum is 2j- a vector.
The magnitude is 2 - a scalar.

Answer 28

what does that mean and how do you get that

Answer 29

We just went through it all. Go reread until it soaks in.

Answer 30

what is a vector and a scalr is what i mean