Here, \[P+Q=P-Q\] \[P+Q-P+Q=0\] \[2Q=0\] \[\therefore Q=0\] Thus, the vectors $(P+Q)$ and $(P-Q)$ will be equal if $Q$ is a null vector.

Home
Vectors Reasonings
Give the condition when vectors (P+Q) and (P-Q) will be equal.

Skip to content# Give the condition when vectors (P+Q) and (P-Q) will be equal.

Here, \[P+Q=P-Q\] \[P+Q-P+Q=0\] \[2Q=0\] \[\therefore Q=0\] Thus, the vectors $(P+Q)$ and $(P-Q)$ will be equal if $Q$ is a null vector.