Practicing Success
Let the vectors $\vec{PQ}, \vec{QR}, \vec{RS}, \vec{ST}, \vec{TU}$ and $\vec{UP}$ represent the sides of a regular hexagon. Statement-1: $\vec{PQ}× (\vec{RS}+\vec{ST}) ≠\vec 0$ Statement-2: $\vec{PQ}×\vec{RS} =\vec 0$ and $\vec{PQ}×\vec{ST} ≠\vec 0$ |
Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1. Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1. Statement-1 is True, Statement-2 is False. Statement-1 is False, Statement-2 is True. |
Statement-1 is True, Statement-2 is False. |
Clearly, $\vec{RS}+\vec{ST} =\vec{RT}$ which is not parallel to $\vec{PQ}$. $∴\vec{PQ}× (\vec{RS}+\vec{ST}) ≠\vec 0$ So, statement-1 is true. Also, $\vec{PQ}$ is not parallel to $\vec{RS}$. $∴\vec{PQ}×\vec{RS} ≠\vec 0$ So, statement-2 is not true. |