If `vecr = xi + yj + zk`, find `(vecr xx i). (vecr xx j ) + xy`

If r = xi + yj + zk then (r xx i) .(r xx j) + xy =

If veca = hati +hatj , vecb = 2hatj - hatk " and " vecr xx veca = vecb xx vec a , vecr xx vec b = veca xx vec b , then what is the value of (vec r)/(|vec r|)

Lines vecr xx vecb = veca xx vecb and vecr xx veca = vecb xx veca , where veca =hati + hatj, vecb = 2hati -hatk intersect at

The lines vecr = vec a + lamda ( vecb xx vecc ) and vecr = vecb + mu ( vecc xx veca ) will intersect if

Given any vector, vecr,|vecr xx hati|^(2) + |vecr xx hatj|^(2) + |vecr xx hatk|^(2) equals to:

Vectors vecm, vecn, vecr are such that vecm + vecn + vecr = 0 , prove that vecm xx vecn = vecn xx vecr = vecr xx vecm