Calculating |vect.A + Vect.B + Vect.C|

[draotic]

Homework Statement

vector A,B and C are mutually perpendicular unit vectors , then |vect.A + Vect.B + Vect.C| is equal to ...?

Homework Equations

unit vector=vector/magnitude

The Attempt at a Solution

since they are unit vectors and are perpendicular..they obviously are lying along x , y and z axes denoted by i , j , k (caps)

 

[AJKing]

Are we sure that this is a 3 dimensional incident?

Edit: I just realized, I clicked on "Advanced Physics" . . . going to go back to the Introductory forum now.

Good luck :).

 

[SteamKing]

Three unit vectors can be mutually perpendicular, but it is not necessary for the three vectors to coincide, or lie along, the coordinate axes.

Remember, if two arbitrary vectors A and B are defined such that A dot B = 0, then A and B are perpendicular. If we form the cross product such that C = A cross B, then the vectors A, B, and C will be mutually perpendicular.

The magnitude is given by the standard Euclidean norm Sqrt(A^2 + B^2 + C^2).