These three points are on the same line: (1,2,3),(2,4,−6),(−3,−6,x). Find x. Explain your answer fully.

floymdiT

floymdiT

Answered question

2021-01-19

These three points are on the same line: (1,2,3),(2,4,−6),(−3,−6,x). Find x. Explain your answer fully.

Answer & Explanation

cheekabooy

cheekabooy

Skilled2021-01-20Added 83 answers

You could do this using the vector equation of a line.
r(t)=r0+tv
We can use (1,2,3)(1,2,3) as the point r0 and (2,4,−6)−(1,2,3)=(1,2,−9) as the direction vector v. Then if (−3,−6,x)is on the line, it should be a solution r(t) to this equation. So lets

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