anonymous
  • anonymous
Use the formula v1 x v2 = absltvalue v1 x absltvalue v2 to find the cosine of the angle between the two vectors (-7,8) and (1,0).
Mathematics
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anonymous
  • anonymous
Use the formula v1 x v2 = absltvalue v1 x absltvalue v2 to find the cosine of the angle between the two vectors (-7,8) and (1,0).
Mathematics
katieb
  • katieb
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misty1212
  • misty1212
hi!!
misty1212
  • misty1212
you got the length of each of these?
misty1212
  • misty1212
dot product should be easy since because of the \((1,0)\) it is just \(-7\)

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anonymous
  • anonymous
So Im just curious in the equation when it says multiply v1 by v2 does that mean you multiply the x and y values of (-7,8) and (1,0) together and than add the x and y values together?
dumbcow
  • dumbcow
^^ yes \[v_1*v_2 = (x_1,y_1) * (x_2,y_2) = x_1 *x_2 + y_1*y_2\]
anonymous
  • anonymous
so the equation would come out to be -7=7costheta. Which would then simplify down to -1=costheta. Then you solve for theta giving you 180 degrees?
anonymous
  • anonymous
dumbcow
  • dumbcow
equation is \[\cos \theta = \frac{v_1 *v_2}{|v_1| |v_2|}\] \[\cos \theta = \frac{-7}{\sqrt{113}}\] \[\theta \approx 131.2\]

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