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A point A witn y-coordinate 16 lies on t...

A point A witn y-coordinate 16 lies on the line segment joining the points B(2, 6, 5) and C(-1, 2, 0)
Find the coordinates of the point R.

Text Solution

Verified by Experts

Let A divides BC in the ratio k : 1 Then the coordinates of A are
`((-k+2)/(k+1), (2k+6)/(k+1), 5/(k+1))`

Since, y-coordinate is 16
`rArr (2k+6)/(k+1)=16`
`rArr 2k +6 = 16k +16`
`rArr 14k =-10`
`rArr k =-5/7`
Hence, the coordinates of A are `(19/2, 16, 35/2)`
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