Question

Given that P = (-9, 2) and Q = (-10, 9), find the component form and magnitude of 2vector PQ.

Answer 1

What's the component form of vector PQ ?

Answer 2

I'm not sure

Answer 3

Is it like p - q or something

Answer 4

subtract the corresponding coordinates (tail - head)

Answer 5

Q is the tail, so Q - P

Answer 6

so -10--9 & 9-2

Answer 7

-10 - (-9) = -10 + 9 = -1
9 - 2 = 7

Answer 8

so PQ is the vector < -1, 7 >

Answer 9

then you double every coordinate to get 2*PQ

Answer 10

so I get 12

Answer 11

double each coordinate:

-1*2 = -2
7*2 = 14

So the vector 2*PQ is < -2, 14 >

Answer 12

with sort of 200 right

Answer 13

200?

Answer 14

sqrt*

Answer 15

where are you getting that?

Answer 16

oh the magnitude of 2*PQ

Answer 17

Yeah lol

Answer 18

yeah the magnitude of 2*PQ is \(\Large \sqrt{200}\)

you can simplify that though

Answer 19

Thank you (:

Answer 20

\[\Large \sqrt{200} = \sqrt{100*2}\]
\[\Large \sqrt{200} = \sqrt{100}*\sqrt{2}\]
\[\Large \sqrt{200} = 10*\sqrt{2}\]