Find the ratio in which yz-plane divides the line segment joining the points P(-1, 3,2) and Q(3, -4,5). Also find the co-ordinates of point of division.

Answer

N/a

Explanation

Let yz- plane divides the line segment PQ in the ration `lambda : 1 `.
`therefore` Co-ordinates of required point
`((3 lamda -1)/(lamda +1), (-4 lamda+3)/(lamda+1),(5 lamda+2)/( lamda+1))`
at yz-plane,
x-co ordinate =0
`implies (3lamda-1)/(lamda+1)=0`
`implies lamda=(1)/(3)`
`therefore` Required ratio= 1 : 3 and co-ordinates of required point
`=(0,((-4)/(3)+3)/((1)/(3)+1),((5)/(3)+2)/((1)/(3)+1))`
`=(0,(5)/(4),(11)/(4))`