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

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

RELATED QUESTIONS
Find the angle (rounded to the nearest 10 minutes) between the following pair of vectors: (answered by solver91311)

Could you find the angle between the vectors of {{{ U }}} = 7i + 2j and {{{ V }}} = -4j?... (answered by ikleyn)

Find the angle between the vectors of U = 7i + 2j and V = -4j?... (answered by ikleyn)

Consider the following vectors. v = 3i + 4j, w = 4i + 3j (a) Find the angle between... (answered by Fombitz)

What's the angle between the vectors of {{{ U }}} = 7i + 2j and {{{ V }}} = -4j? Thank... (answered by alyx_v)

Find 3U + 2V given the vectors U = -i + 4j and V = 2i... (answered by Fombitz)

u =−6i − 2j v= −9i + 4j Find the degree measure of the angle 𝜃 between the... (answered by mccravyedwin,Edwin McCravy,ikleyn)

Consider the following. u = i + 3j, v = −3i + j (a) Find u · v (b) Find the angle... (answered by MathLover1)

Consider the following. u = i + 3j, v = −3i + j (a) Find u · v. (b) Find the angle... (answered by MathLover1)