15.00-N force due 20.00 degrees North of West. Find a vector of equal length perpendicular to the force exerted by Juanito .

Supply all missing information with the correct numerical values. Do not include the units. Round off all answers to two decimal places.

Juanito is pulling a cart with 15.00-N force due 20.00 degrees North of West. Find a vector of equal length perpendicular to the force exerted by Juanito .

Let the force exerted by Juanito be , and the force perpendicular to that force be .

The vector  makes an angle of degrees with respect to the positive x-axis. Subtracting 90 degrees from that standard angle, should be due  degrees north of east.  

Since we know that the magnitude of  is equal to that of  and we also know the angle of , we can calculate the components of  which results to:

 =   +  

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