If `bara` = -3i + nj + 4k and `barb` = - 2i + 4j + pk are collinear, then

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 bara = 2i + 3j - k , barb = - i + 2 j - 4k and barc = i + j + k . then (a xx b) · ( a xx c)

If the points whose position vectors are 2i + j + k, 6i - j + 2k and 14i - 5j + pk are collinear then the value of p is

If bara = i+ 2j - 3k and barb = 3i,- j + 2k , then show that bara+barb and barb-barb are perpendicular to each other.

If bara = i + 5k, barb = 2i + 3k, barc = 4i - j + 2k and bard = i-j , then (barc - bara)·(barb xx bard) =

lf bara = 3i - 5j and barb = 6i + 3j are two vectors, and barc is a vector such that barc = bara xx barb , then : abs(bara) : abs(barb) : abs(barc) =

If the points 3i - 2j - k, 2i + 3j - 4k, I + j + 2k, 4i + 5j + lambda k are coplanar then lambda =

For vectors vec(A) = (2i + 3j - 2k), vec(B) = (5i + nj + k) and vec(C ) = (-I + 2j + 3k) to be coplanar, the value of n is