x का मान ज्ञात करे, जबकि निम्नांकित सदिश परस्पर लंब हों:
`x vec(i)-3 vec(j)+5 vec(k), -x vec(i)+x vec(j)+2 vec(k)`.

If vec(a).vec(i)=4 , then (vec(a) . vec(j))xx (2vec(j)-3vec(k)) =

Find the angle between the vectors vec(i) + 2vec(j) + 3vec(k) and 3vec(i) - vec(j) + 2vec(k) .

Find the value of: (vec j xxvec k) * (3vec i + 2vec j-vec k)

If vec(r )= x vec(i) + y vec(j) + z vec(k) then find (vec(r ) xx vec(i))^(2)- (vec(r )xx vec(k))^(2)

If vec(r )= x vec(i) + y vec(j) + z vec(k) then (vec(r ) xx vec(i)).(vec(r ) xx vec(j)) + xy=

If the projection of vec(i)+3vec(j)+7vec(k) on 2vec(i)-3vec(j)+6vec(k) is ___________.

The position vectors of the vertices of a triangle are vec(i) +2 vec(j) +3 vec(k) , 3 vec(i) -4 vec(j) +5 vec (k) and -2vec (i) +3 vec (j) - 7 vec (k) Find the perimeter of a triangle .

The vector area of the parallelogram whose diagonals are vec(i) + 2vec(j) + 3vec(k), -vec(i) - 2vec(j) + vec(k) is

If vec(a)= 2vec(i)-vec(j) +vec(k), vec(b)= 3vec(i) + 4vec(j) -vec(k) , then |vec(a) xx vec(b)|=

(vec i + xvec j + 3vec k) xx (vec i-vec j + vec k) = 5vec i + xvec j-3vec k then x =