Angle as Vector: Vector Addition Property Explained

In summary, angle is not considered a vector quantity because it does not follow the vector addition property, and even infinitesimal angles only roughly follow this rule.
  • #1
<sHoRtFuSe>
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If the physical quantity angle doesn't follow the vector addition property (only infinitesimal angles follow this), why is it even considered to be a vector? Because i thought electrical current isn't considered to be a vector because it doesn't follow this rule. Why isn't it enough to rule out angle as a vector quantity?
 
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  • #2
<sHoRtFuSe> said:
If the physical quantity angle doesn't follow the vector addition property (only infinitesimal angles follow this), why is it even considered to be a vector? Because i thought electrical current isn't considered to be a vector because it doesn't follow this rule. Why isn't it enough to rule out angle as a vector quantity?
Neither electric current nor angle are considered to be vectors. Current density is a vector quantity.
 

FAQ: Angle as Vector: Vector Addition Property Explained

What is an angle as a vector?

An angle as a vector is a way of representing an angle using a magnitude and direction. It is often used in physics and mathematics to analyze and describe the motion of objects.

How is an angle as a vector different from a regular angle?

A regular angle is typically measured in degrees or radians, while an angle as a vector is represented by a magnitude and direction. This makes it easier to perform mathematical operations, such as addition and subtraction, on angles.

How do you add two angles as vectors?

To add two angles as vectors, you must first find their components in the x and y directions. Then, you can use the vector addition formula, where the magnitude of the resulting vector is equal to the square root of the sum of the squares of the two original vectors' magnitudes, and the direction is given by the inverse tangent of the y-component over the x-component.

Can angles be subtracted using the vector addition property?

Yes, angles can be subtracted using the vector addition property. To subtract an angle from another, you can simply add the negative of the second angle to the first angle using the vector addition formula.

How is the vector addition property used in real-life applications?

The vector addition property is used in various real-life applications, such as navigation systems, robotics, and video game development. It allows for more accurate and efficient calculations when dealing with angles and their respective magnitudes and directions.

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