माना `alpha in R` तथा तीन सदिश `a = alpha i+ j + 3k, b= 2i + j -alpha k` था `c= alpha i -2j + 3k` है , तो समुच्चय S = (`alpha: a, b{ तथा c समतलीय है }

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

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

If a = I + 2j - 3k, b = 2i + j + k, c = I + 3j - 2k then (a xx b) xx (b xx c) =

If a = i - j + 2k, b = 2i + 3j + k, c = i - k , then magnitude of a + 2b-3c is

Let alpha in R and the three vectors a=alpha hat(i) + hat(j) +3hat(k) , b=2hat(i) +hat(j) -alpha hat(k) " and " c= alpha hat(i) -2hat(j) +3hat(k) . Then the set S={alpha: a,b " and c are coplanar"}

Let alpha in R and the three vectors a=alpha hat(i) + hat(j) +3hat(k) , b=2hat(i) +hat(j) -alpha hat(k) " and " c= alpha hat(i) -2hat(j) +3hat(k) . Then the set S={alpha: a,b " and c are coplanar"}

If a = 2i + j - 3k, b = I - 2j + k, c -I + j - 4k, d = I + j + k then (a xx b) xx (c xx d) =

If a = i + j + k, b = 4i + 3j + 4k, c = i + alpha j + beta k are linearly dependent and |c| = sqrt(3) then