A vector with magnitude 10 points in a direction 235 degrees counterclockwise from the positive x axis Write the vector in component form.

To write the vector in component form, we need to use the magnitude and direction of the vector. The vector has a magnitude of 10 and points in a direction of 235 degrees counterclockwise from the positive x-axis.The component form of a vector with magnitude and direction is given by: Here, and .First, convert the angle from degrees to radians if necessary, but since most calculators can handle degrees directly, we'll proceed with degrees: Now calculate the components:1. Calculate : - \(\cos 235^\circ = \cos(180^\circ + 55^\circ) = -\cos 55^\circ\)2. Calculate : - \(\sin 235^\circ = \sin(180^\circ + 55^\circ) = -\sin 55^\circ\)Using approximate values for and :- - Substitute these into the expressions: Therefore, the vector in component form is approximately .