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

## Answer this Question

## Related Questions

- Calculus and vectors - Vector AB is a vector whose tail is at (-4,2) and whose ...
- calculus - State whether or not the following statements are true. Justify your ...
- Calculus and vectors - Please help/verify the answer. 1. When you add vectors ...
- Vectors - Verify (Vector a + Vector b) × (Vector a + Vector b) = 0⃗ . ...
- Math - Vector AB whose tail is at (-4,2) and whose head is at (-1,3). Calculate...
- phys - 1. A vector has (at minimum) how many parts associated with it? 2. When ...
- physics - 1. A vector has (at minimum) how many parts associated with it? 2. ...
- precalc - If is vector a ia 7 units long, the magnitude of vector b is 10 units ...
- Vectors - Verify using an example that Vector a + (Vector b • Vector c) is not ...
- Physics - Let vector A = 4i^ + 4j^, vector B = -2i^ - 5j^, and vector F = vector...

More Related Questions