A force vector applied on a mass is repres

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A force vector applied on a mass is represented as $\vec F = 6\hat i - 8\hat j + 10\hat k$ and accelerates with $1\,m/{s^2}$. What will be the mass of the body

A

$10\sqrt 2 \,kg$

B

$2\sqrt {10} \,kg$

C

$10 \,kg$

D

$20\, kg$

A force vector applied on a mass is represented as $\vec F = 6\hat i - 8\hat j + 10\hat k$ and accelerates with $1\,m/{s^2}$. What will be the mass of the body

$m = \frac{F}{a} = \frac{{\sqrt {{6^2} + {8^2} + {{10}^2}} }}{1} = \sqrt {200} $$ = 10\sqrt 2 \,kg$