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Three vectors \(A, B\), and \(C\) add together to yield zero: \(A+B+C=0\). The vectors ...

Three vectors \(A, B\), and \(C\) add together to yield zero: \(A+B+C=0\). The vectors \(A\) and \(C\) point in opposite directions and their magnitudes are related by the expression: \(A=2 C\). Which one of the following conclusions is correct?

A. \(A\) and \(B\) have equal magnitudes and point in opposite directions.
B. \(B\) and \(C\) have equal magnitudes and point in the same direction.
C. \(B\) and \(C\) have equal magnitudes and point in opposite directions.
D. \(A\) and \(B\) point in the same direction, but \(A\) has twice the magnitude of \(B\).





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