Show that the vector `veci -2 vec j +3 vec k , -2 vec i + 3 vecj -4 vec k " and " -vec j + 2 vec k` are coplanar.

Show that the vectors 2 vec a- vec b+3 vec c , vec a+ vec b-2 vec ca n d vec a+ vec b-3 vec c are non-coplanar vectors (where vec a , vec b , vec c are non-coplanar vectors)

If vec a , vec b and vec c are non-coplanar vectors, prove that vectors 3vec a-7 vec b-4 vec c ,3 vec a -2 vec b+ vec c and vec a + vec b +2 vec c are coplanar.

Find lambda if the vectors vec a= vec i+3 vec j+ vec k , vec b= 2 vec i- vec j- vec k and vec c= lambda vec i+7 vec j+ 3 vec k are coplanar

Show that the vectors vec a = hat i - 2 hat j + 3 hat k, vec b = -2 hat i + 3 hat j - 4 hat k and vec c = hat i - 3 hat j + 5 hat k are coplanar.

Show that the vectors vec a = hat i - 2 hat j + 3 hat k , vec b = -2 hat i +3hat j - 4 hat k and vec c = hat i - 3 hat j + 5 hat k are coplanar.

Find the angle between the vectors 2veci+vecj-veck " and " vec i + 2 vec j+ veck

Find the angle between the vectors 2veci+vecj-veck " and " vec i + 2 vec j+ veck

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 .

Show that the vectors vec a = hat i-2 hat j+3 hat k and vec b=-2 hat i+3 hat j -4 hat k and vec c = hat i -3 hat j +5 hat k are coplanar

Let veca = hat i + hat j + hat k, vec b = 2 hat i + 3 hat j vec c = 3 hat i + 5 hat j - 2 hat k , vec d = - hat j + hat k (i) Find vec b - vec a . (ii) Find the unit vector along vec b - vec a . (iii) Prove that vec b - vec a and vec d - vec c are parallel vectors.