If $F _1$ and $F _2$ are two vectors of equal magnitudes $F$ such that $\left| F _1 \cdot F _2\right|=\left| F _1 \times F _2\right|$, then $\left| F _1+ F _2\right|$ equals to

  • A
    $\sqrt{(2+\sqrt{2)}} F$
  • B
    $2 F$
  • C
    $F \sqrt{2}$
  • D
    None of these

Similar Questions

Force $F$ applied on a body is written as $F =(\hat{ n } \cdot F ) \hat{ n }+ G$, where $\hat{ n }$ is a unit vector. The vector $G$ is equal to

  • [KVPY 2017]

A vector $\overrightarrow{ A }$ points vertically upward and $\overrightarrow{ B }$ points towards north. The vector product $\overrightarrow{ A } \times \overrightarrow{ B }$ is

If $A =a_1 \hat{ i }+b_1 \hat{ j }$ and $B =a_2 \hat{ i }+b_2 \hat{ j }$, the condition that they are perpendicular to each other is

The component of a vector along any other direction is

Find the scalar and vector products of two vectors. $a =(3 \hat{ i }-4 \hat{ j }+5 \hat{ k })$ and $b =(- 2 \hat{ i }+\hat{ j }- 3 \hat { k } )$