If A→+B→=C→and the angle between A→ and B→is 120°, then the magnitude of C→

Must be less than | A → − B → |

Must be less than | A → − B → |

Must be equal to | A → − B → |

Must be less than | A → − B → |

Must be greater than | A → − B → |

May be equal to | A → − B → |

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If $\vec{A} + \vec{B} = \vec{C}$ and the angle between $\vec{A} and \vec{B}$ is 120°, then the magnitude of $\vec{C}$

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Must be equal to $| \vec{A} - \vec{B} |$

Must be less than $| \vec{A} - \vec{B} |$

Must be greater than $| \vec{A} - \vec{B} |$

May be equal to $| \vec{A} - \vec{B} |$

answer is B.

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$|\vec{A} + \vec{B}| = \sqrt{A^{2} + B^{2} + 2 ABcos 120^{0}}$

$|\vec{A} + \vec{B}| = \sqrt{A^{2} + B^{2} - AB}$

$|\vec{A} - \vec{B}| = \sqrt{A^{2} + B^{2} + 2 ABcos 60^{0}}$

$|\vec{A} - \vec{B}| = \sqrt{A^{2} + B^{2} + AB}$

Magnitude of $\vec{C}$ must be less than $| \vec{A} - \vec{B} |$

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