यदि `vec|a|=5, vec|b|=6` तथा `veca.vecb``=-25` तब `|vecaxxvecb|` का मान है

Options

A. `25`
B. `6sqrt11`
C. `11sqrt5`
D. `5sqrt11`

Answer

D

Explanation

दिया है , `|a| = 5 , |b| = 6` तथा `a * b = - 25`
`because |a xx b|^(2) + |a * b|^(2) = |a|^(2) |b|^(2)`
`implies |a xx b|^(2) + (-25)^(2) = (5)^(2) (6)^(2)`
`implies |a xx b|^(2) + 625 = 25 xx 36`
`implies |a xx b|^(2) = 900 - 625`
`implies | a xx a|^(2) = 275`
`implies | a xx b | = sqrt(275) = 5sqrt(11)`