Calculus and vectors
posted by Ted .
Vector AB is a vector whose tail is at (4,2) and whose head is at (1,3).
Calculate the magnitude of vector AB
Determine the coordinates of point D on vector CD, if C (6,0) and vector CD= vector AB.
Please I need some help. Is there a formula to solve this? Pls help

I will let A be (4,2) and B(1,3)
vector AB = ( 1+4 , 32)
= (3,1)
magnitude of AB = √(3^2 + 1^2) = √10
let D be (x,y)
the vector CD = (x+6, x0) = (x+6 , y)
but if vector AB = vector CD
then x+6 = 3
x = 3
and y = 1
so point D is (3,1)
in general if A is the point (a,b) and B is the point (c,d)
then vector AB = ( ca , db)
and vector BA = ( a  c, b  d)
note that vector AB =  vector BA