Which of the following is independent of the choice of co-ordinate system

  • A

    $\vec P + \vec Q + \vec R$

  • B

    $({P_x} + {Q_x} + {R_x})\hat i$

  • C

    ${P_x}\hat i + {Q_y}\hat j + {R_z}\hat k$

  • D

    None of these

Similar Questions

Prove the associative law of vector addition.

The three vectors $\overrightarrow A = 3\hat i - 2\hat j + \hat k,\,\,\overrightarrow B = \hat i - 3\hat j + 5\hat k$ and $\overrightarrow C = 2\hat i + \hat j - 4\hat k$ form

$\overrightarrow A \, = \,2\widehat i\, + \,3\widehat j + 4\widehat k$ , $\overrightarrow B \, = \widehat {\,i} - \widehat j + \widehat k$, then find their substraction by algebric method.

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]

Give the names of two methods for vector addition. Write the law of parallogram for vector addition.