if a = 3i + 2j + k, b = 6i + mj + nk and a, b are collinear, then m, n are

If bara = mi + 2j - 3k and barb = 3i - 2j + nk are collinear, then (m, n) equiv

If A = i + 2j + 3k, B = 2i + 4j + 7k and C = 2i + 3j + 5k are collinear, then the ratio in which B divides bar(AC) is

If a = 2i + 3j - 5k, b = mi + nj + 12k and a xx b = 0 then (m, n) =

If a = 2i - j + k, b = 3i + 4j - k then |a xx b| =

If the points whose position vectors are -2i + 3j + 5k, i + 2j + 3k, lambda i - k are collinear, then lambda =

If the vectors i +j , i - j and li + mj + nk are coplanar, then:

If vectors 2i - j + k, i + 2j - 3k and 3i + mj + 5k are coplanar, then m is a root of the equation

I : The three points with position vectors i - 2j + 3k, 2i + 3j - 4k and -7j + 10k are collinear. II : The vectors a - 2b + 3c, 2a + 3b - 4c, -7b + 10c are coplanar.

If a = 3i - 2j + k, b = -i + j + k then the unit vector parallel to the vector a + b is

If the vector a = 2i + 3j + 6k and b are collinear and |b| = 21, then b =