MCQ
Let $\overrightarrow C = \overrightarrow A + \overrightarrow B $ then
  • A
    $|\overrightarrow {C|} $ is always greater then $|\overrightarrow A |$
  • It is possible to have $|\overrightarrow C |\, < \,|\overrightarrow A |$ and $|\overrightarrow C |\, < \,|\overrightarrow B |$
  • C
    $C$ is always equal to $A + B$
  • D
    $C$ is never equal to $A + B$

Answer

Correct option: B.
It is possible to have $|\overrightarrow C |\, < \,|\overrightarrow A |$ and $|\overrightarrow C |\, < \,|\overrightarrow B |$
b
(b) $\vec C + \vec A = \vec B$. 

The value of $C$ lies between $A - B$ and $A + B$

$|\vec C|\; < \;|\vec A|\;\;{\rm{or}}\;\;|\vec C|\; < \;|\vec B|$

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