Find the component from and magnitude of vector PQ The vecto

Find the component from and magnitude of vector PQ. The vector in component form, is .

Given P(3,-4) and Q = (-5,7)

The vector form is

Q-P (P is starting point and Q is terminal point)

=(-5-3, 7-(-4))

=(2, 11) = (x,y) say

Magnitude of PQ is

= \\sqrt (X^2+y^2)

=\\sqrt(2^2+11^2)

= \\sqrt(4+121)

\\sqrt(125)

= 11.180