I\'m having a hard time understanding how to find the x and y components for vec

Question

I'm having a hard time understanding how to find the x and y components for vectors in quadrants I, III, and IV. Particularly, knowing when to add/subtract angle from 90, 180, 360 and sign changes. If you could explain this in your answer it would be much appreciated. Thank you.

Part D Vector A, vector B, and vector C are drawn to scale in the figure below. The vector A is 5.3 meters long and points 56 0 counterçlockwise from the positive c-axis. The vector B is 4.0 meters long and points along the negative x-axis. The vector C is 2.8 meters long and points 53 clockwise from the negative x-axis What are C and Cy, the and y components of vector C? Express your answer numerically in meters as the ordered pair (C2, Cy) using three significant figures Ca, Cv.69,2.24 m, m SubmitPrev Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining The submitted answer treats the vector Cas though it lies in the first quadrant of the ry-plane. Recall that the positive or negative signs of the components C and Cy indicate the direction of the component vectors C and

Explanation / Answer

Cx = -C cos 53

= -2.8 cos 53

= -1.685

so the x-component of C is -1.685

Cy = C sin 53

= 2.8 sin 53

= 2.236

so the y-component is 2.236

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