how do you add vectors A=2.0x-4.0y and B=3.0x +2.0y?

Question

once i have added these to make vector C if C=A+B what is the angle C makes with the x-axis

Answer 1

with vectors, you can just add the components:

A = 2.0x - 4.0y
B = 3.0x + 2.0y

A+B = 5.0x - 2.0y

if you want to think of this visually, draw one vector, then draw the second one starting at the end of the first one.

also, traditionally, you use i, j and k instead of x, y and z when writing vector components. but i wouldn't worry about it if you're being taught the other way..

Answer 2

As far as I remember, you just add them!!
2.0x - 4.0y +3.0x + 2.0y = 5.0x -2.0y
Try looking up more on vectors on wikipedia, the section on adding vectors is:
http://en.wikipedia.org/wiki/Vector_%28spatial%29#Addition_and_scalar_multiplication
Hope this helps.

Answer 3

Separately add each of its components as of:

A = [ 2, -4 ]
B = [ 3, 2 ]

A + B
= [ 2, -4 ] + [ 3, 2 ]
= [ 2 + 3, -4 + 2 ]
= [ 5, -2]
= 5x -2y
= 5.0x -2.0y

Answer 4

I really hate vector addition, but here goes...

Simply add the components with the respective variables together and you should have the result (2.0 + 3.0)x + (-4.0 + 2.0)y = 5x + -2.0y.

Answer 5

2.0x-4.0y
+3.0x+2.0y
5.0x-2.0y