The unit vector along $\hat i + \hat j$ is

  • A

    $\hat k$

  • B

    $\hat i + \hat j$

  • C

    $\frac{{\hat i + \hat j}}{{\sqrt 2 }}$

  • D

    $\frac{{\hat i + \hat j}}{2}$

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  • [AIPMT 1999]

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The change in a vector may occur due to .....

State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful :

$(a)$ adding any two scalars,

$(b)$ adding a scalar to a vector of the same dimensions ,

$(c)$ multiplying any vector by any scalar,

$(d)$ multiplying any two scalars,

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$(f)$ adding a component of a vector to the same vector.

Angular momentum is