Statement 1: Unit vectors orthogonal to the vector `3hati+2hatj+6hatk` and coplanar with
Channel: Doubtnut
Date: 2020-05-17

Statement 1: Unit vectors orthogonal to the vector `3hati+2hatj+6hatk` and coplanar with the vectors `2hati+hatj+hatk` and `hati-hatj+hatk` are `+-1/(sqrt(10))(3hatj-hatk)`.  Statement 2: For any three vectors `veca, vecb,` and `vecc` vector `vecaxx(vecbxxvecc)` is orthogonal to `veca` and lies in the plane of `vecb` and `vecc`.