Resolving a vector into x and y components

An example figure from the Vector Diagram Generator.

On a grid with x and y axes, vector A at θ above the x axis, with its dashed components A_x along the x axis and A_y up to A’s tip
One vector A, 5 squares long at 37° above the horizontal, drawn from where the x and y axes cross, on a grid. Its angle is marked θ from the x axis, and its components A_x along the horizontal and A_y up to its tip are drawn as thinner dashed arrows.

Editing opens it in the Vector Diagram Generator with these settings, to change anything and copy or download your own.

Answer key (angles counterclockwise from the right)

  • A: 5 squares at 37°; x-component 3.99 and y-component 3.01 squares

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