The given initial point is P( 2,1 )and terminal point is Q( −5,7 ).
Formula for vector equation when initial and terminal points are given is,
PQ → =( x 2 − x 1 ) i ^ +( y 2 − y 1 ) j ^
Here, x 1 =2, x 2 =−5, y 1 =1 and y 2 =7.
Substitute the values in above formula, we get,
PQ → =( −5−2 ) i ^ +( 7−1 ) j ^ =−7 i ^ +6 j ^
Thus, the scalar components are −7 and 6, and the vector components are −7 i ^ and 6 j ^ .