Vector A S has magnitude 8.00 m and is in the xy-plane at an angle of 127 counterclockwise from the +x–axis (37˚ past the +y-axis). What are the magnitude and direction of vector B vec if the sum A vec + B vec is in the -y-direction and has magnitude 12.0 m?

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Vector A S has magnitude 8.00 m and is in the xy-plane at an
angle of 127 counterclockwise from the +x–axis (37˚ past the +y-axis).
What are the magnitude and direction of vector B vec if the sum A vec + B vec is
in the -y-direction and has magnitude 12.0 m?

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