show that (2,-1,3), (1,-1,0), (3,-1,6) are collinear
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Answer:
X
1
,Y
1
,Z
1
= 2,−1,3
X
2
,Y
2
,Z
2
= 4,3,1
X
3
,Y
3
,Z
3
= 3,1,2
X
2
−X
3
X
1
−X
2
=
Y
2
−Y
3
Y
1
−Y
2
=
Z
2
−Z
3
Z
1
−Z
2
1
−2
=
2
−4
=
−1
2
1
−2
=
1
−2
=
1
−2
Hence, the points are coplanar.
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