Physics - Vectors Question with Solution | TestHub

The two vectors $\overrightarrow{\mathrm{A}}$ and $\overrightarrow{\mathrm{B}}$ are drawn from a common point and $\overrightarrow{\mathrm{C}}=\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}},$ then angle between $\overrightarrow{\mathrm{A}}$ and $\overrightarrow{\mathrm{B}}$ is - (1) $90^{\circ }$ if ${\mathrm{C}}^2={\mathrm{A}}^2+{\mathrm{B}}^2$ (2) greater than $90^{\circ }$ if ${\mathrm{C}}^2<{\mathrm{A}}^2+{\mathrm{B}}^2$ (3) greater than $90^{\circ }$ if ${\mathrm{C}}^2>{\mathrm{A}}^2+{\mathrm{B}}^2$ (4) less than $90^{\circ }$ if ${\mathrm{C}}^2>{\mathrm{A}}^2+{\mathrm{B}}^2$ Correct options are -