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anonymous
 one year ago
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).
anonymous
 one year ago
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).

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misty1212
 one year ago
Best ResponseYou've already chosen the best response.1you got the length of each of these?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1dot product should be easy since because of the \((1,0)\) it is just \(7\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So 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?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0^^ yes \[v_1*v_2 = (x_1,y_1) * (x_2,y_2) = x_1 *x_2 + y_1*y_2\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so 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
 one year ago
Best ResponseYou've already chosen the best response.0equation 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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