Question

What is the resultant of the two vectors shown?

A. (9, 1)
B. (1, –9)
C. (–1, 9)
D. (5, 5)

Answer 1

To find the resultant of two vectors, you simply add the two vectors (add the corresponding components)

Answer 2

v = (a,b)
w = (c,d)

resultant of v and w = v+w = (a,b) + (c,d) = (a+c, b+d)

Answer 3

um problem, there are three coordinates

Answer 4

that or i am stupid, one of the two ._.

Answer 5

when I write v = (a,b) I mean the vector with components a,b

it's not the point (a,b). I guess I should write v = <a,b>

Answer 6

what do you mean by components? there are three things on the graph and only two in your equation

Answer 7

focus on the upper vector (that's in quadrant 1)

notice how you start at (0,0) and you end at (2,7)

So that vector is <2,7> because you go over to the right 2 units and up 7 units

Answer 8

the lower vector is <3, -2> because you start at (0,0), go to the right 3 and then down 2

Answer 9

so you add <2,7> and <3,-7>

Answer 10

<5,0> ?

Answer 11

oh my bad, I meant <2,7> and <3,-2>

made a typo

Answer 12

that's not an answer love, is it :/
wait so it is <5,5> then

Answer 13

somehow an extra 7 crept in there

Answer 14

don't really see the significance of why my answers have brackets and yours has angle brackets though o.o

Answer 15

well (x,y) is an ordered pair

that represents a point on the xy plane

Answer 16

<x,y> is a vector and it tells you how to move from start to finish

Answer 17

the question is, does it affect my answer in any way? sorry i am awful at maths.

Answer 18

you could have a vector that starts at any point, but having it start at (0,0) and ending at (x,y) is the same as writing the vector <x,y>

Answer 19

For instance, here is the point (2,3)

Answer 20

Now here is the vector <2,3> and we are not starting at (0,0)

let's start at (1,1)

That means we start here and we go over to the right 2 and up 3 to land on (3,4)