यदि `vec(a)` और`vec(b)` समान्तर हो , तो `vec(a) xx vec(b) = ………` होगा।

If vec(a), vec(b) and vec(c) are three vectors such that vec(a) + vec(b) + vec(c) = vec(0) , then prove that vec(a) xx vec(b) = vec(b) xx vec(c) = vec(c) xx vec(a) .

If vec (a) xx vec(b) = vec (c ) xx vec(d) and vec (a) xx vec ( c) = vec (b) xx vec (d ) , show that vec(a) - vec (d) is parallel vec(b) - vec (c) , where to vec (a) != vec (d) and vec ( b) != vec (c )

The vectors vec(a), vec(b), vec(c ) and vec(d) are such that vec(a) xx vec(b) = vec(c ) xx vec(d) and vec(a) xx vec(c )= vec(b) xx vec(d) . Which of the following is/are correct? 1. (vec(a)- vec(d)) xx (vec(b) - vec(c ))= vec(0) 2. (vec(a) xx vec(b))xx (vec(c ) xx vec(d))= vec(0) Select the correct answer using the codes given below

If (vec(a), vec(b))= pi , then |4vec(a) xx 5vec(b) + vec(b) xx vec(a)| =

For any three vectors vec(a), vec(b) and vec(c) , evaluate vec(a) xx (vec(b) + vec(c)) + vec(b) xx (vec(c) + vec(a)) + vec(c) xx (vec(a) + vec(b)) .

Let vec(a), vec(b), vec(c ) be such that vec(c ) ne vec(0), vec(a) xx vec(b)= vec(c ) and vec(b) xx vec(c )= vec(a) then show that vec(a), vec(b) and vec(c ) are pairwise perpendicular, |vec(b)|=1 and |vec(c )|= |vec(a)| .

If vec(a) + vec(b) + vec(c )= vec(0) and |vec(a) xx vec(b)|=3 , then |vec(b) xx vec(c )| =

(vec(a) xx vec(b), vec(b) xx vec(a)) =

If vec(a)vec(b)vec(c ) and vec(d) are vectors such that vec(a) xx vec(b) = vec(c ) xx vec(d) and vec(a) xx vec(c ) = vec(b)xxvec(d) . Then show that the vectors vec(a) -vec(d) and vec(b) -vec(c ) are parallel.