If the points (-1, 3, 2), (4, 2, -2) arid (5, 5, l,) are collinear, then λ=

Let (5, 5, λ) divide the segment joining (-1, 3,2) and (4,2, -2) in the ratio k : l.∴ −4k−1k+1,2k+3k+1,−2k+2k+1≡(5,5,λ) So, −4k−1=5k+5 and 2k+3=5k+5∴ k=−2/3So, comparing z-coordinate with k = -2/3, we get 4/3+2=λ/3∴ λ=10