Question:
the x coordinate of a point on the line joining the points p(2,2,1) and q(5,1,-2) is 4. find its z coordinate
Answer:
Let the point P divide QR in the ratio k : 1
Now, the coordinate of P is {(5k + 2)/(k + 1), (k + 2)/(k + 1), (-2k + 1)/(k + 1)}
Given, x-coordinate of P is 4
So, (5k + 2)/(k + 1) = 4
=> 5k + 2 = 4(k + 1)
=> 5k + 2 = 4k + 4
=> k = 2
Now, z-coordinate = (-2k + 1)/(k + 1)
= (-2*2 + 1)/(2 + 1)
= -3/3
= -1
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