The angle between two vectors is given by:
cos (x) = (v1.v2) / (lv1l * lv2l)
We have then:
v1.v2 = (2, -5). (4, -3)
v1.v2 = (2 * 4) + (-5 * (- 3))
v1.v2 = 8 + 15
v1.v2 = 23
We look for the vector module:
lv1l = root ((2) ^ 2 + (-5) ^ 2)
lv1l = 5.385164807
lv2l = root ((4) ^ 2 + (-3) ^ 2)
lv2l = 5
Substituting values:
cos (x) = (23) / ((5.385164807) * (5))
x = acos ((23) / ((5.385164807) * (5)))
x = 31.33 degrees
Answer:
The angle between the two vectors is:
x = 31.33 degrees
Answer:
A.
In 4231, the value of the digit 3 is 110 less than the value of the digit 3 in 3421.
Step-by-step explanation:
We can see that the value of 3 In 4231 is in ten while the value of 3 in 3421 is in thousands.
So to get the actual division factor, let's take 3300 and divide it by 30,
3300/30 = 110
So it's clear already, that the value of 3 in 4231 is 110 times less to the value in 3421
Answer:
circle area = 400*d^2
Step-by-step explanation:
