Questions
If the points are collinear then
a
2
b
1
c
3
d
-4
detailed solution
Correct option is B
The given points are A(−1,0,7),B(3,2,k),C(5,3,−2)The direction ratios of ABare proportional to ⟨4,2,k−7⟩and the direction ratio of AC are proportional to ⟨6,3,−9⟩Since the pointsA,B,C are collinear, the direction ratios of AB,ACare proportional It implies that 46=23=k−7−9Cross multiply and then simplify −18=3k−21⇒3k=3⇒k=1 Therefore, k=1Talk to our academic expert!
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Angle between the lines whose direction ratios are a,b,c and is
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