How do I find the magnitude of a vector?

1 Answer

The magnitude of a vector in #RR^n# (if you're using dot product as inner product) is given by the square-root of the sum of the square of each coordinate of the vector.

Let #v = [v_1,v_2,v_3,v_4]#:
The magnitude of #v# is #sqrt((v_1)^2+(v_2)^2+(v_3)^2+(v_4)^2)#//

For a more general #RR^n# vector #u = [u_1,u_2,...,u_n]#, its magnitude is given by #sqrt((u_1)^2+(u_2)^2+...+(u_n)^2)#//

Hope it helps