A unit vector coplanar with `veci + vecj + 2veck and veci + 2 vecj + veck` and perpendicular to `veci + vecj + veck ` is _______

Find a unit vector perpendicular to both veci+vecj+veck and 2veci+vecj+3veck .

Find |vecaxxvecb| , if veca = veci - 7vecj + 7veck and vecb = 3veci - 2vecj + 2veck

Find angle 'Ɵ' between the vectors veca = veci + vecj - veck and vecb = veci - vecj + veck .

The shortest distance between the lines vecr = (2 veci -vecj - veck) + lamda ( 2 veci + vecj + 2 veck) and vecr = (veci + 2 vecj + veck) + mu ( veci - vecj + veck) is

Find the projection of the vector veci + 3vecj + 7veck on the vector 7veci - vecj + 8veck

Find the unit vector in the direction of the vector veca = veci+vecj+2veck

Find the shortest distance between the following pair of parallel lines whose equation are: vecr = veci + 2 vecj + 3veck + lamda (veci - vecj + veck) and vecr = 2 veci - vecj - veck + mu (-veci + vecj - veck) is

Find the projection of the vector veca = 2veci + 3vecj + 2veck on the vector vecb = veci + 2vecj + veck

If veca = 2veci + 2vecj + 3veck, vecb = -veci + 2vecj + veck and vecc = 3veci + vecj are such that veca + lambdavecb is perpendicular to vecc , then find the value of lambda

For given vectors, veca = 2veci - vecj + 2veck, vecb = -veci + vecj - veck find the unit vector in the direction of the vector veca+vecb