Let ` vec A=2 vec i+ vec k , vec B= vec i+ vec j+ vec kdot` `vec C = 4hati-3hatj+7hatk` Determine a vector ` vec R` satisfying ` vec Rxx vec B= vec Cxx vec B` and ` vec Rdot vec A=0.`

Let vec a=2 hat i+ hat k , vec b= hat i+ hat j+ hat ka n d vec c=4 hat i-3 hat j+7 hat k be three vectors. Find vector vec r which satisfies vec rxx vec b= vec cxx vec ba n d vec rdot vec a=0.

Let vec a = 2i + j + k, vec b = i + 2j + k and vec c = 2i-3j + 4k, A vector vec r satisfying vec r xxvec b = vec c xxvec b and vec r * vec a = 0 , is

Let vec a=hat j-hat k and vec c=hat i-hat j-hat k. Then the vector b satisfying vec axvec b+vec c=0 and vec a*vec b=3, is

if vec b=2 vec i + 3 vec j - vec k and vec c= vec i + 4 vec j + 5 veck then find a vector vec a such that vec b * vec a =0 and vec c * vec a=0 . Also find the unit vector along vec a .

If a=vec i+4vec j,vec b=2vec i-3vec j and vec c=5vec i+9vec j then vec c=

If vec a = vec i + vec j + vec k, vec b = vec i - vec j + vec k and vec c = vec i + 2vec j - vec k, then the value of | [vec a.vec a, vec a.vec b, vec a.vec c], [vec b.vec a, vec b.vec b, vec b.vec c], [vec c.vec a, vec c.vec b, vec c.vec c ] | is equal to: (1) 2 (2) 4 (3) 16 (4) 64

If | vec a | = 2, | vec b | = 7 and vec a xxvec b = 3vec i + 2vec j + 6vec k then vec a * vec b =

vec a = vec i + 2vec j + 3vec k, vec b = -vec i + 2vec j + vec k, rArr3vec i + vec j and vec d is normal to both vec a and vec b then (vec c, vec d)

If | vec a | = 2, | vec b | = 7 and vec a xxvec b = 3vec i + 2vec j + 6vec k then find vec a.vec b.vec b.vec b

If vec a=hat i+hat j+hat k and vec b=hat j-hat k, find a vector vec c such that vec a x vec c=vec b and vec a*vec c=3