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Mathematics 22 Online
OpenStudy (calculusxy):

Plot the three points P = (1,3), Q = (5,6), and R = (11.4,10.8). Verify that PQ = 5, QR=8, and PR = 13. What is special about these points?

OpenStudy (calculusxy):

@zepdrix

OpenStudy (xapproachesinfinity):

did you plot the points?

OpenStudy (calculusxy):

yes

OpenStudy (xapproachesinfinity):

can you show the plot?

OpenStudy (calculusxy):

well i would have to take a pic cuz i drew it on my notebook

OpenStudy (xapproachesinfinity):

oh ok

OpenStudy (calculusxy):

it actually looks like it might be collinear points but i am not so sure

OpenStudy (xapproachesinfinity):

well if you draw them it should be obvious if there collinear

OpenStudy (xapproachesinfinity):

they should line in one line

OpenStudy (calculusxy):

the thing is that i am not sure how to prove that its collinear

OpenStudy (xapproachesinfinity):

if not then they are not collinear

OpenStudy (xapproachesinfinity):

use vectors

OpenStudy (calculusxy):

you can draw a line through them

OpenStudy (xapproachesinfinity):

if you can then they are!

OpenStudy (calculusxy):

from P to Q it would be: [4,3]

OpenStudy (xapproachesinfinity):

yes make another vector

OpenStudy (calculusxy):

from Q to R?

OpenStudy (xapproachesinfinity):

yeah

OpenStudy (calculusxy):

[6.4, 4.8]

OpenStudy (xapproachesinfinity):

you just need to show one vector is a multiple of the other

OpenStudy (calculusxy):

they are multiples because the scalar would be 1.6

OpenStudy (xapproachesinfinity):

then that is enough to prove they are collinear

OpenStudy (calculusxy):

thank you! can u help me with two more questions please?

OpenStudy (xapproachesinfinity):

no problem

OpenStudy (xapproachesinfinity):

ok let try

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