If $\left| {{{\vec v}_1} + {{\vec v}_2}} \right| = \left| {{{\vec v}_1} - {{\vec v}_2}} \right|$ and ${{{\vec v}_1}}$ and ${{{\vec v}_2}}$ are finite, then

  • A

    ${{{\vec v}_1}}$ is parallel to ${{{\vec v}_2}}$

  • B

    ${{{\vec v}_1} = {{\vec v}_2}}$

  • C

    $\left| {{{\vec v}_1}} \right| = \left| {{{\vec v}_2}} \right|$

  • D

    ${{{\vec v}_1}}$ and ${{{\vec v}_2}}$ are mutually perpendicular

Similar Questions

When vector $\overrightarrow{ A }=2 \hat{ i }+3 \hat{ j }+2 \hat{ k }$ is subtracted from vector $\vec{B}$, it gives a vector equal to $2 \hat{j}$. Then the magnitude of vector $\vec{B}$ will be:

  • [JEE MAIN 2023]

Figure shows $ABCDEF$ as a regular hexagon. What is the value of $\overrightarrow {AB} + \overrightarrow {AC} + \overrightarrow {AD} + \overrightarrow {AE} + \overrightarrow {AF} $ (in $\overrightarrow {AO} $)

The resultant of $\overrightarrow P $ and $\overrightarrow Q $ is perpendicular to $\overrightarrow P $. What is the angle between $\overrightarrow P $ and $\overrightarrow Q $

The maximum and minimum magnitude of the resultant of two given vectors are $17 $ units and $7$ unit respectively. If these two vectors are at right angles to each other, the magnitude of their resultant is

If $y = x + {1 \over x}$, then