Question

If \[\vec{a,} \vec{b}\] represent the diagonals of a rhombus, then

Options

• \[\vec{a} \times \vec{b} = \vec{0}\]

• \[\vec{a} \cdot \vec{b} = 0\]

• \[\vec{a} \cdot \vec{b} = 1\]

• \[\vec{a} \times \vec{b} = \vec{a}\]

Answer 1

\[\text{ We know that the diagonals in a rhombus }  ( \vec{a} \text{ and }  \vec{b} ) \text{ are perpendicular } .\]

\[\text{ Therefore, their dot product is zero} .\]

\[ \Rightarrow \vec{a} . \vec{b} = 0\]