Mark the correct statement :-

  • A

    $| \vec a + \vec b | \geq | \vec a | + | \vec b |$

  • B

    $| \vec a + \vec b | \leq | \vec a | + | \vec b |$

  • C

    $| \vec a - \vec b | \geq | \vec a | + | \vec b |$

  • D

    All of the above

Similar Questions

What is correct?

The vectors $\vec{A}$ and $\vec{B}$ are such that

$|\vec{A}+\vec{B}|=|\vec{A}-\vec{B}|$

The angle between the two vectors is

  • [AIPMT 2006]

Two forces are such that the sum of their magnitudes is $18 \,N$ and their resultant is perpendicular to the smaller force and magnitude of resultant is $12\, N$. Then the magnitudes of the forces are

If the angle between $\hat a$ and $\hat b$ is $60^o$, then which of the following  vector $(s)$ have magnitude one

$(A)$ $\frac{\hat a + \hat b}{\sqrt 3}$     $(B)$ $\hat a + \widehat b$     $(C)$ $\hat a$      $(D)$ $\hat b$

Two vectors having equal magnitudes $A$ make an angle $\theta$ with each other. The magnitude and direction of the resultant are respectively