Question

Show that 3 non zero vectors are coplanar if (a×b)1 (b×c)+(c×a)=0

Answer 1

Answer:

Answer: vectors are coplanar as their scalar triple product is zero. Example 3. Check whether the vectors are collinear a = {1; 1; 1}, b = {1; 2; 0}, c = {0; -1; 1}, d = {3; 3; 3}. Since there are two non-zero row, then among the given vectors only two linearly independent vectors.