Question

what is the magnitude of the vector with an initial point (-3 -2) and terminal point (5 -8)

Answer 1

What is the vector first of all?

Answer 2

I don't know

Answer 3

@thomas5267

Answer 4

Vector are produced by subtracting the coordinates of final point by the coordinate of initial point. In this case, the vector required is (8,-6).

Answer 5

@ChasingMaggie get it so far?

Answer 6

Yeah, I'm pretty sure. So after you know what the vector is, what do you have to do?

Answer 7

find the magnitude, the magnitude for a vector with x and y components is the sqrt((x-component)^2 + (y-component)^2)

Answer 8

Which one is the x and y components? Is -3 x and -2 y?

Answer 9

Sorry, I suck at understanding this stuff!

Answer 10

the vector is (8, -6) so tell me what the x component and y component of the vector would be

Answer 11

so x component is 8 and y component is -6, right?

Answer 12

correct :)

Answer 13

So it would be sqrt8^2+sqrt-6^2?

Answer 14

no the sqrt is in parenthesis, try again

Answer 15

sqrt(5 + 2) is not same as sqrt(5) + sqrt(2)

Answer 16

thats just an example, the numbers dont apply to this problem

Answer 17

So I find 8^2 and -6^2, then add them, then sqrt that? Or is that all mixed up, too?

Answer 18

that will work but you want (-6)^2 not -6^2, since (-6)^2 is 36 and -6^2 is -36

Answer 19

so basically take sqrt(64 + 36)

Answer 20

So it's 10?

Answer 21

yep

Answer 22

Because you have to add what's in the parenthesis first, then sqrt it!

Answer 23

correct :)

Answer 24

Thank you!

Answer 25

its really all under the same sqrt symbol but when typing without latex you just use parenthesis to denote that

Answer 26

yw :)