I : If three points A, B and C have position vectors (1, x, 3), (3, 4, 7) and (y, -2, -5) respectively and if they are collinear, then (x, y) = (2, -3)
II : If a = i + 4j, b = 2i - 3j and c = 5i + 9j then c = 3a + b

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

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

If three points A,B, and C have position vectors hat i+xhat j+3hat k,3hat i-4hat j+7hat k and yhat i-2hat j-5hat j respectively are collinear,them (x,y)=(2,-3) b.(-2,3) c.(-2,-3) d.(2,3)

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

If three points A, B and C with position vectors hat(i) + x hat(j) +3 hat(k) , 3 hat(i) + 4 hat(j) + 7hat( k) and y hat(i) - 2 hat(j) - 5 hat(k) respectively are collinear, then (x,y) =

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

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

If three points A ,\ B ,\ a n d\ C have position vectors hat i+x hat j+3 hat k ,\ 3 hat i+4 hat j+7 hat k\ a n d\ y hat i-2 hat j-5 hat k respectively are collinear, them (x , y)= a. (2,-3) b. (-2,3) c. (-2,-3) d. (2,3)

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