SOLUTION: Find the angle (rounded to the nearest 10 minutes) between the following pair of vectors:
u=-i-4j
and
v=3i-4j
Enter your answer in degrees, minutes, seconds, enter 0 for th
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-> SOLUTION: Find the angle (rounded to the nearest 10 minutes) between the following pair of vectors:
u=-i-4j
and
v=3i-4j
Enter your answer in degrees, minutes, seconds, enter 0 for th
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Question 984346: Find the angle (rounded to the nearest 10 minutes) between the following pair of vectors:
u=-i-4j
and
v=3i-4j
Enter your answer in degrees, minutes, seconds, enter 0 for the number of seconds.
Thank you kindly. Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Find the angle (rounded to the nearest 10 minutes) between the following pair of vectors:
u=-i-4j
and
v=3i-4j
-------------
Angle to terminal point of u = atan(4) =~ 255.96 degs
Angle to terminal point of v = atan(-4/3) =~ 306.87 degs
--> Angle between =~ 50.906 degs
= 50 degs 50'
=========================
Using trig:
Make a triangle OUV, O at Origin, U((-1,-4), V(3,-4)
Side o = UV = 4
Side u = OV = 5
Side v = OU = sqrt(17)
Find angle O
Use the Cosine Law
----
4^2 = 25 + 17 - 2*5*sqrt(17)*cos(O)
O = 50.906 degs
