Question

The magnitude of resultant of three components of a vector is 3. Its x-component is 2, y-component is 1 then z-component will be:

Answer 1

Answer:

z=2

Explanation:

Given,

$3 = \sqrt{ {2}^{2} + {1}^{2} + {z}^{2} } \\ {3}^{2} = { (\sqrt{ {2}^{2} + {1}^{2} + {z}^{2} } )}^{2} \\ 9 = 4 + 1 + {z}^{2} \\ 9 - 5 = {z}^{2} \\ 4 = {z}^{2} \\ z = \sqrt{4} \\ z = 2$