यदि `vec(A)xxvec(B)=vec(0)` तथा `vec(B)xxvec(C)=vec(0)` हो तो सिद्ध कीजिये कि - `vec(A)xxvec(C)=vec(0)`

Explanation

`vec(A)xxvec(B)=vec(0)` है अतः `vec(A)||vec(C)` है
`vec(B)xxvec(C)=vec(0)` है अतः `vec(B)||vec(B)` है `becausevec(A)||vec(B)` तथा `vec(B)||vec(C)`
`:." "vec(A)||vec(C)` होगा
`vec(A)vec(C)-vec(0)` होगा ।