Show that the points `A, B` and `C` having position vectors `(i + 2j +7k), (2 i + 6j + 3k)` and `(3 i + 10j - k)` respectively, are collinear.

Show that the points with position vectors 2 hat i + 6 hat j + 3 hat k , hat i + 2 hat j + 7 hat k and 3 hat i + 10 hat j - hat k are collinear.

Values of a for which the points A, B, C with position vectors 2i - j+k, i - 3j - 5k and ai - 3j +k, respectively, are the vertices of a right angled triangle with C = (pi)/2 are

Show that the points with the position vectors 2 hat i + 6 hat j + 3 hat k, hat i + 2 hat j + 7 hat k and 3 hat i + 10 hat j - hat k are collinear.

Show that the points whose position vectors are 5hat(i) + 5 hat(k), 2 hat(i) + hat(j) + 3 hat(k) and -4 hat(i) + 3 hat(j) - hat(k) are collinear.

The three points whose position vectors are i + 2j + 3k, 3i + 4j + 7k and -3i - 2j - 5k

The points A, B and C with position vectors a=3i-4j-4k,b=2i-j+kandc=i-3j-5k , respectively are

If the position vectors of A and B are 3i - 2j + k and 2i + 4j - 3k then |vec(A)B|

The vectors 2i - 3j + k, I - 2j + 3k, 3i + j - 2k