Question

If A+B=C and the angle between A and
B is 120°, then the magnitude of C
1) must be equal to |A - B|
2) must be less than |Ä - B|
3) must be greater than |A - B|
4) may be equal to |Ā – B|​

Answer 1

Answer:

3 is ans

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Answer 2

Answer:

C must be greater than |A - B|

Reason:

$C=\sqrt[]{A^{2}+B^{2}-2AB*Cos120 } \\=\sqrt[]{A^{2}+B^{2}-2AB*(\frac{-1}{2}) }\\\sqrt[]{A^{2}+B^{2}-AB }$

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

So, C>  |A - B|

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