How to Find Vector Components?
Trigonometric ratios show the relationship between the magnitude of the vector and the components of the vector. Using “Pythagoras theorem” in right triangles with lengths \(v_x\) and \(v_y\): Vector Components – Example 1: \(\color{blue}{v_x= v \cos θ}\) \(\color{blue}{v_y= v \sin θ}\) \(v_x= v\cos 60° \) → \(v_x= 20×\frac{1}{2}= \frac{20}{2}=10\) \(v_y= v\sin 60° \) → \(v_y= […]
How to Find Modulus (Absolute Value) and Argument (Angle) of Complex Numbers?
The formula for complex numbers argumentation A complex number can be expressed in polar form as \(r (cos\ θ + i sin\ θ)\), where is the \(θ \) argument. The argument function \(arg(z)\) where \(z\) denotes the complex number, \(z=(x+iy)\). The formula for calculating the complex argument is as follows: \(\color{blue}{ arg (z) =arg (x+iy)= […]
