Question

Two cars P and Q move with velocities ${\overrightarrow{v}}_P$ and ${\overrightarrow{v}}_Q{\overrightarrow{v}}_Q$ towards north and east respectively.

Velocity of car P w.r.t. Q (i.e., velocity of car P for an observer on cars Q) is ${\overrightarrow{v}}_{AB}$ will be in which direction?

• A. North - west
• B. North - east
• C. South - west
• D. South - east

Answer 1

The correct option is A

North - west

${\overrightarrow{v}}_{PQ}={\overrightarrow{v}}_P-{\overrightarrow{v}}_Q={\overrightarrow{v}}_P+(-{\overrightarrow{v}}_Q)$

$\therefore v_{PQ}$ will be in the northwest direction.