Find the scalar and vector components of the vector with initial points (3,2) and terminal points (-4,6) 

Scalar components are -7 and 4 and

the vector components are -7\(\hat{i}\) and  4 \(\hat{j}\)

We have the vector with initial points (3,2) and terminal points (-4,6).

The vector with initial point (3,2) and terminal point (-4,6) can be given by, 

 \(\vec{PQ}\)= (-4-3)\(\hat{i}\)+ (6-2) \(\hat{j}\)

 \(\vec{PQ}\) = -7\(\hat{i}\)+ 4 \(\hat{i}\)

Hence the required scalar components are -7 and 4  while the vector components are -7\(\hat{i}\) and  4 \(\hat{j}\)