The angle between u = (-2,-5) and v = (5,2) is 134 degrees approximately.
<u>Solution:</u>
Given, two vectors are u = (-2, -5) and v = (5, 2)
We have to find the angle between two vectors.
We know that,
where is angle between vectors a and b
Hence, the angle between given two vectors is 134 degrees approximately.
Step 1:
first let us convert the two decimals into fractions.
0.36=36/100 (since there are two digits after decimal point we divide by 100)
2.4=24/10 (since there are one digit after decimal point we divide by 10)
now we can multiply the fractions
×
multiplying numerator with numerator and denominator with denominator:
=
Now we can convert this back to decimal
864/1000=0.864, moving decimal three digits to the left since we have three zeros in the denominator that is 1000.
Answer=0.864
