Question

find each specific vector or scalar.

(1) v+w

(2) u-v

Answer 1

if those are vectors, addition of 2 vectors results in another vector

Answer 2

for the second, you add the negative of v, v is flipped aound 180 degrees first

Answer 3

I really don't understand this at all because it has no numbers how would i find the answer

Answer 4

something is missing in the prob you gave i think,

is this just assuming there are 3 vectors, u,v,and w?

Answer 5

without knowing \(u\) or \(v\) it is not possible

Answer 6

if v + w = u

then you can figure out them, is there a diagram

Answer 7

i am going to try and seen shot it from my online book

Answer 8

it is number 22 and 23

Answer 9

lol, look at the directions for that section of probs

Answer 10

They gave you all three of the vectors components

Answer 11

okay yes i see that now but how do i apply that?

Answer 12

Each vector has components

\[\large u = <u _{x}, u _{y}> ~~~~or~~~~u = u _{x}*i + u _{y}*j\]

Answer 13

like a triangle in 2-space plane, a line will have a component parallel to each axis

Answer 14

8right triangle

Answer 15

For vector addition, you can simply add the like components to get a new vector

look at the definition

Answer 16

for the first one it would be -4+j?

Answer 17

-4i*

Answer 18

okay when you said combine like components it would be -4i+j right?

Answer 19

vector addition

u = a*i + b*j
v = c*i + d*j

u + v = (a + c)i + (b + d)j

Answer 20

you sum each component for i,j,k

Answer 21

so i did it right?

Answer 22

v + w = < -3 + (-1) , 7 + (-6) >

Answer 23

yep, -4i +1j, or <-4,1>

Answer 24

okay great now what do i use that for?

Answer 25

is that the vector?

Answer 26

thank you so much

Answer 27

that is it, just a vector sum

Answer 28

yes, that results in a new vector