If a body placed at the origin is acted upon by a force `vecF=(hati+hatj+sqrt2hatk)`, then which of the following statements are correct?
Magnitude of `vecF` is (2+ `sqrt2`)
Magnitude of `vecF` is 2.
`vecF` makes an angle of `45^@` with the Z-axis
`vecF` makes an angle of `30^@` with the Z-axis.
Select the correct answer using the codes given below

Options

A. 1 and 3
B. 2 and 3
C. 1 and 4
D. 2 and 4

Answer

B

Explanation

`F=sqrt((1)^2+(1)^2+(sqrt2)^2)=2`
` cos gamma = F_z/F=sqrt2/2 =1/sqrt2= cos 45^(@) , :. gamma = 45^@`