InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
`a_(1), a_(2),a_(3) in R - {0} and + a_(1)+ a_(2)cos2x+ a_(3)sin^(2)x=0` " for all " x in R` thenA. vectors `veca=a_(1) hati+ a_(2) hatj + a_(3) hatk and vecb = 4hati + 2hatj + hatk` are perpendicular to each otherB. vectors `veca=a_(1) hati+ a_(2) hatj + a_(3) hatk and vecb = hati + hatj + 2hatk` are parallel to each each otherC. if vector `veca=a_(1) hati+ a_(2) hatj + a_(3) hatk` is of length `sqrt6` units, then on of the ordered trippplet `(a_(1), a_(2),a_(3)) = (1, -1,-2)`D. if `2a_(1) + 3 a_(2) + 6 a_(3) + 6a_(3) = 26 , " then " |veca hati + a_(2) hatj + a_(3) hatk | is 2sqrt6` |
|
Answer» Correct Answer - a,b,c,d `a_(1)+a_(2)cos2x+a_(3)sin^(2)x=0AAx inR` `or (a_(1)+ a_(2)) + sin ^(2)x (a_(3)- 2a_(2)=0` `Rightarrow a_(1)+a_(2)=0 and a_(3)-2a_(2)=0` ` a_(1)/(-1)=a_(2)/1=a_(3)/2 = lambda(ne0)` `Rightarrow a_(1) =lamda, a_(2)-lamda, a_(3)= 2lambda` |
|