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
The equivalent of a whole number is
you just need to multiply your whole number with a number, the numerator is the answer that you just multiply, the denominator is the number you just choose to multiply.
Ex: Whole number given: 2, find an equivalent fraction:
Chose number: 5, 2*5=10
So 10 is your numerator and 5 is your denominator, and when you divide them you get 2. Hoped I helped:)
Well I think you should calculate 75 times 60 its 4200
Answer:
Reduction
Step-by-step explanation:
Whenever you see a shape graphed where the points have ' after the letter, then that is the RESULT. So, the yellow parallelogram ABCD is the original, and the blue parallelogram A'B'C'D' is the result, which is obviously smaller than the original. So that means that it's a reduction.
I hope this made sense and helped! :)
<span>Because each of the two numbers is a factor of the product, and since the
product has at least those two factors, it's a composite number by definition.</span>