Answer:
In case of rectangular components the magnitude of two components will be equal if the vector makes 45° with +x-axis.
Step-by-step explanation:
In case of rectangular components, the magnitude of the two components will be equal if the vector makes an angle of 45° with +x-axis.
Mathematically it could be seen as:
Let [tex]A_x[/tex] and [tex]A_y[/tex] be the x and y components of a vector then it is given as:
The x-component of the vector is calculated as:
[tex]A_{x}=A \cos45\degree=\dfrac{A}{\sqrt{2}}[/tex]
Similarly the y-component of the vector is calculated as:
[tex]A_{y}=A \sin45\degree=\dfrac{A}{\sqrt{2}}[/tex]
Hence, we get that [tex]A_{x}=A_{y}[/tex]
