91Ó°ÊÓ

We are given a statement $H-C=G-F$and we need to find if the statement is true or false.

$H-C$implies subtraction of two vectors.

The terminal point of the vector $H$is joined with the initial point of the vector $-C$, which has same magnitude as $C$but opposite in direction.

The resultant is obtained by joining the initial point of vector $H$and terminal point of $-C$.

$G-F$implies subtraction of two vectors.

The terminal point of the vector $G$is joined with the initial point of the vector $-F$, which has same magnitude as $F$but opposite in direction.

The resultant is obtained by joining the initial point of vector $G$and terminal point of $-F$.

The resultant vectors so obtained are same in magnitude but different in direction.

So the given statement is False.