Vector Addition: Components and Length of Vectors V(1) and V(2)

[jena]

Hi,

The question is:

The components of a vector V can be written as (V(x), V(y), V(z)). What are the components and length of a vector which is the sum of the two vectors, V(1) amd V(2). whose components are (8.0. -3.7,0.0) and (3.9,-8.1,-4.4)?

Work

For the components
V(x)= 8.0+3.9=11.9
V(y)=-3.7+-8.1=-11.8
V(z)= 0+-4.4=-4.4


That's all I have figured. I'm a little confused on the set up of this problem. to figure the length would I just use the Pythagorean theorem.

Please help and thank you

 

[whozum]

The magnitude of a vector is given by

$$\sqrt{x^2+y^2+z^2}$$

 

[jena]

So would the magnitude be

V=((11.9)^2+(-11.8)^2+(-4.4)^2)^(1/2)
V=(300.4)^(1/2)
V=17.3

Is this correct. Also when they refer to components the are referring to these:

V(x)= 8.0+3.9=11.9
V(y)=-3.7+-8.1=-11.8
V(z)= 0+-4.4=-4.4

Thank You

 

[Spectre5]

yes, that's correct