1. Tardigrade
  2. Question
  3. Physics
  4. Three vectors satisfy the relation A.B=0 and A.C=0 then A is parallel to

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Three vectors satisfy the relation $\overrightarrow{A}.\overrightarrow{B}=0$ and $\overrightarrow{A}.\overrightarrow{C}=0$ then $\overrightarrow{A}$ is parallel to

KCETKCET 2003Motion in a Plane

Solution:

Here $\overrightarrow{A} .{B}$ =$AB\, cos \theta$ = $AB\, cos 90^\circ$ = O $\Rightarrow $ $\overrightarrow{A} \perp \overrightarrow{B}$ Similarly, $\overrightarrow{A} \perp \overrightarrow{C} \Rightarrow \overrightarrow{B}$ and $ \overrightarrow{C}$ are in the same plane and $ \overrightarrow{A}$ is perpendicular to them. Thus $ \overrightarrow{A} || \overrightarrow{B} \times \overrightarrow{C}$

Solution Image