Questions
The point A(1, - 1, 3), B(2, - 4,8) and C(5,- 18, 11) are
a
collinear
b
non-collinear
c
Do not say anything
d
None of the above
detailed solution
Correct option is A
Now,Δxy=121−112−415−131=12|[1(−4+13)+1(2−5)+1(−26+20)]|=12|[9−3−6]|=0Δyz=12−131−451−13111=12|[−1(5−11)−3(−4+13)+1(−44+65)]|=12|[6−27+21]|=0Δzx=123115211151=12|[3(2−5)−1(5−11)+1(25−22)]|=12|[−9+6+3]|=0∴ Area of triangle=Δxy2+Δyz2+Δzx2=0+0+0=0Hence, given points are collinear.Talk to our academic expert!
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In the if , B = (3,2,0) and C = (0,1,4) then the length of the median passing through A is
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