Question

Which choice shoes the sum of the two vectors <-2,0> and <4,-5> written as and ordered pair

A. <4,-5>
B. <2,-5>
C. <-2,0>
D. <-6.5>

Answer 1

So you would add the 'x' components and then add the y'components seperately

<-2,0> + <4,-5>
=
<-2 + 4 , 0 - 5>

Answer 2

Thank you!! do you think you could help me with another/

Answer 3

I can :)

Answer 4

The ordered pairs <-8,2> and <5,-6> represent two vectors. What is the magnitude of the resultant?

Answer 5

Resultant vector: <–8, 2> + <5, –6> = <-8+5, 2+(-6)> = <-3, -4>

Magnitude of resultant vector = sqrt((-3)^2+(-4)^2) = sqrt(9+16)=sqrt(25) = 5

Answer 6

the simple answer is 5

Answer 7

that was a choice, i just have a few more, im really bad at geometry haha

Answer 8

Okay! haha

Answer 9

The ordered pairs <5,2> and <3,-2> represent two vectors. What is the magnitude of the resultant?

Answer 10

that one is 6

Answer 11

Are you sure @gurrilabill ?

Answer 12

do you disagree?

Answer 13

<5 + 3 , 2 - 2> = resultant = <8 , 0>
\[\sqrt {(8)^2 + (0)^2} = \sqrt{64} = 8\]

Answer 14

Ahhh, Sorry about that abbi, Thanks john!

Answer 15

aw its okay, thank you for helping me though!

Answer 16

No problem!

Answer 17

I have a few more D;

Answer 18

Okay!!

Answer 19

Right...to find the 'x' value...you do

x = 5 * cos(13)

and to find the 'y' it would be

y = 5 * sin(13)

Which would arrive to answer choice C

Answer 20

sorry guys, i know im asking a lot, i just have no clue what im doing

Answer 21

Use the appropriate trig function, sin and cos, to get the x and y components.
One for the x-compnonet and the other one for the y-component.
For that triangle, the side measuring 5 is obviously the hypotenuse.
Relative to the 13-deg angle,
The x-compnent is the adjacent leg. Since you have the hypotenuse, and you are looking for the adjacent leg, you need the cosine.
The y-compnent is the oppoite leg. The function that relates the opposite leg and the hypotenuse is the sine.
cos 13 = x/5
sin 13 = y/5
x = 5*cos13
y = 5*sin13
The x and y numbers will come out positive as if they were in the first quadrant. Since your vector terminates in the third quadrant, just make the values of x and y negative.

x = 4.87185...
y = 1.124755...

Answer 22

Well you know it is definitely going south...so that gets rid of answers 2 and 3...

Are you going west? No, it is pointing towards the east...

so

south ...east....looks like answer choice 4

Answer 23

i dont know this one :/ @johnweldon1993 do you know?

Answer 24

Indeed I do....so it looks to be the person looking UP at the radar tower....elevated angle....so it would be A" The angle of elevation from the person to the radar tower

Answer 25

im really sorry, just a few more?

Answer 26

@johnweldon1993 you can take it from here, sorry abbi i have to get off for a few