Three forces `vec F_(1) =5hati+6hatj+7hatk, vec F_(2) =-3hati-2hatj-2hatk and vec F_(3) =-2hati-4hatj-3hatk` act on a body. What is the direction of the resultant force acting on the body ?

Options

A. Along Y axis
B. Along Z axis
C. Along X axis
D. In the XY plane making an angle of `30^(@)` with the X axis

Answer

B

Explanation

`vec F_(1) + vec F_(2) + vec F_(3)`
`=(5hati -3 hati -2 hati)+(6hatj-2hatj-4hatj)+(7hatk-2hatk-3hatk)`
`=0+0+2hatk`
`therefore` The direction of the resultant is along the Z axis.