Posted by **Ted** on Tuesday, February 5, 2013 at 4:11pm.

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

- Calculus and vectors -
**Reiny**, Tuesday, February 5, 2013 at 4:21pm
I will let A be (-4,2) and B(-1,3)

vector AB = ( -1+4 , 3-2)

= (3,1)

magnitude of AB = √(3^2 + 1^2) = √10

let D be (x,y)

the vector CD = (x+6, x-0) = (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 = ( c-a , d-b)

and vector BA = ( a - c, b - d)

note that vector AB = - vector BA

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