Answer
The magnitude of the vector is $\sqrt (38)m$ or 6.16m
Work Step by Step
The magnitude of a vector is given by the formula:
magnitude = $ \sqrt (x^2 +y^2+z^2) $
where x, y and z represent the x, y, and z components (or i, j, k) respectively.
In our case, the vector is (5m)i - (3m)j + (2m)k
Therefore x = i = 5, y = j = -3 and z=k = 2
Plugging these in we have
magnitude = $ \sqrt ((5)^2 +(-3)^2+(2)^2) = \sqrt (25+9+4) = \sqrt (38)$
