The number of distinct real values of `lamda` for which the vectors `veca=lamda^(3)hati+hatk, vecb=hati-lamda^(3)hatj` and `vecc=hati+(2lamda-sin lamda)hati-lamdahatk` are coplanar is

The number of distinct real values of `lamda` for which the vectors `v

1.	The number of distinct real values of `lamda` for which the vectors `veca=lamda^(3)hati+hatk, vecb=hati-lamda^(3)hatj` and `vecc=hati+(2lamda-sin lamda)hati-lamdahatk` are coplanar is
Answer» Correct Answer - A Put `Delta=0` `rArr lambda^(7)+lambda^(3)-sinlambda=0` Let `f(lambda)=(7lambda^(6)+3lambda^(2)+2-coslambda) gt 0` in R `therefore f(lambda)=0` has only one real solution `lambda=0`