Force vector is given as
[tex]F = 10\hat i + 20\hat j + 27.2\hat k[/tex]
now we need to find the magnitude of this force
as we know that
[tex]F_x = 10 [/tex]
[tex]F_y = 20 [/tex]
[tex]F_z = 27.2 [/tex]
so here we will find the net force
[tex]F_{net} = \sqrt{F_x^2 + F_y^2 + F_z^2}[/tex]
[tex]F_{net} = \sqrt{10^2 + 20^2 + 27.2^2}[/tex]
[tex]F_{net} = 35.2 N[/tex]
so it is having magnitude as 35.2 N