Mathematics
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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?
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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
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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
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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]
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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
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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