The angle between two vectors `6 hati + 6 hatj- 3hatk` and `7 hati + 4 hatj + 4hatk` is given by

Options

A. `cos^(-1)(1)/(sqrt3)`
B. `cos^(-1)(5)/(sqrt3)`
C. `sin^-1(2)/(sqrt3)`
D. `sin^(-1)(sqrt5)/(3)`

Explanation

From the equation ,
`v=sqrt(5Rg)impliesvpropsqrtR`
`(v_1)/(v_2)=sqrt(R_1/R_2)`
`impliesv_1/v_2=sqrt((R_1)/((R_1)/(4))` (` :'` Radius of circle is reduced to one-fourth )
`implies(v_1)/(v_2)=2`
`:.v_2=(v_1)/2`