Question

A)let AB be the vector with initial point A=(-7,6) and terminal point B=(5,1)

1)Find the component form of AB
2)Write AB--> as a linear combination of the vectors i and j
3)Find the magnitude of AB-->
4)write a unit vector u with the same direction as AB and find the magnitude of u.
5)Find the direction angle of vector AB .

Answer 1

1,2) AB = (5-(-7))i + (1-6)j = 12i-5j
3) as always, |AB| = √(12^2+5^2) = 13
4) AB/|AB|
5) cosθ = x/r = 12/13

These questions are so basic, it's clear you need to review your introductory vector material.