From the perspective of the people who usually have to deal with the questions of solving vectors, it’s important to know about the degree of a vector. The people who have extended knowledge about solving questions of the vector will not take enough time to find out the degree of the vector. In some situations, you may need to find out the magnitude and angle of the vector instead of its components. By finding out the angle of a vector, it might be easy for you to find out the degree of the given vector shortly.
Introduction
If you want to find out the magnitude, you can use the Pythagorean Theorem. In addition, if you want to find the angle you can use the inverse tangent function which can be inverse cosine or inverse sine. When you have details about the horizontal and vertical components of a vector, you will never face the problem to find out the magnitude of the vector. In this situation, you just need to find out the hypotenuse of a Right Triangle. How do you find the degree of a vector? This is something called basic about the magnitude and angle you need to know.
How you can find the degree of a vector?
First of all, you need to assume that you are given the coordinates of the end of the vector and want to find its magnitude v and the angle theta. Maybe, you have extended knowledge about trigonometry you should know that.
Y/X= Φ Sinθ/Φ Cosθ= tanθ
V= under root x2+ under root y2
It simply means that if you have a vector given by the available coordinates, its magnitude and angle could easily be found.
This is an expression that you actually need in order to find out the degree of a factor. From now, the task of understanding how do you find the degree of a vector might be easy for you and there is not a single doubt about the same concept.
In this given expression, tan theta is the tangent of the angle which means theta = tan inverse (y/x). Next, you can use the Pythagorean Theorem to find out the hypotenuse the magnitude us of the triangle which can be formed by the X, Y, and v.
In easy words, it can be said that the degree of a vector can be expressed as the angle theta. When you want to check the degree of a vector, you can simply use the formula means theta = tan inverse (y/x) without asking anyone else.
Now, you have collected information about the possible ways that you can use for finding out the degree of a given vector in very short amount of time. Make sure that you will not commit a single mistake during the same procedure to have the rest of the benefits.
The ones, who will follow the steps of finding a degree of the given vector carefully without committing a mistake, may not face any kind of problem to complete the question and find out the degree.