Question

Given vectors u = (2, -3) and v= (1, -1), what is the measure of the angle between the vectors?
O 11.3°
O 78.9°
O 92.2°
O 101.3°

Answer 1

Answer:

A) 11.3°

Step-by-step explanation:

got it right on edge :)

Answer 2

The measure of the angle between the vectors will be 11.3°. Then the correct option is A.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

The angle between the vector is given as,

$\theta = \cos^{-1} \dfrac{u \cdot v}{\left|a \right|\left|b \right|}$

Given vectors u = (2, -3) and v= (1, -1).

Then the measure of the angle between the vectors will be

$\theta = \cos^{-1} \dfrac{(2, -3)\cdot (1, -1)}{\sqrt{2^2+(-3)^2} \ \sqrt{1^2 + (-1)^2}}\\\theta = \cos^{-1} \dfrac{2 + 3}{\sqrt{13} \sqrt{2}}\\\theta = \cos^{-1} \dfrac{5}{\sqrt{26}}$

θ = 11.3°

Then the correct option is A.

More about the angled link is given below.

https://brainly.com/question/15767203

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