If `(veca xxv vecb) xx (vecc xx vecd) . (veca xx vecd) =0` then which of the following may be true ?
A. `veca, vecb and vecd` are nenessarily coplanar
B. `veca` lies iin the plane of `vecc and vecd`
C. `vecvb` lies in the plane of `veca and vecd`
D. `vecc` lies in the plane of `veca and vecd`
A. `veca, vecb and vecd` are nenessarily coplanar
B. `veca` lies iin the plane of `vecc and vecd`
C. `vecvb` lies in the plane of `veca and vecd`
D. `vecc` lies in the plane of `veca and vecd`
Correct Answer – b,c,d
`(vecaxxvecb )xx(vecc xx vecd). (vecaxxvecd) =0`
`or ([veca vecc vecd] vecb- [vecb vecc vecd]veca) . (veca xx vecd)=0`
`or [veca veccvecd] [vecb veca vecd] =0`
Hence, either `vecc or vecb` must lie in the plane of ` veca and vecd`.