<span>The dot product here is 10(9) + 6(5)=120
so the vectors are not orthogonal
</span><span>u.v = |u| x |v| cos (theta) ; theta is the angle between them
we know from above that u.v = 120
|u| = sqrt[10^2+6^2]=11.66
|v| = sqrt[9^2+5^2]=10.29
so we know:
theta =cos^-1 120/(11.66x10.29)
so theta = 25 degrees</span><span>
</span>
This equatuon illustrates <span>distributive of multiplicatiton over addition.
</span><span>
If we have a set E with two relation * and + : (E,+,*)
we say that the relation * is distributive with respect to the relation
If a*(b+c) = a*b + a*c for every a,b,c from E</span>
The answer would be the third option , because
We have been asked to find
In which quadrant does the terminal side of the angle 257° lie?
As we know that in the first Quadrant angle is from 0 to 90
In the second Quadrant angle is from 90 to 180
In the third Quadrant angle is from 180 to 270.
In the fourth Quadrant angle is from 270 to 360.
Hence the angle 257 will lie in the third Quadrant.
#10 - 64°
#11 - 67°
#12 - 42in.
#13 - 45.5in.
#14 - i think it's 133.5 but i'm not sure.
