Questions
Triangle formed by three lines whose direction ratios are is
a
Acute angled triangle
b
Obtuse angled triangle
c
right angled triangle
d
coincident lines
detailed solution
Correct option is C
Suppose that the given lines form a triangle ABC Hence, cosA=−1+21+1+11+2=2−13cosB=1+21+21+1=2+16cosC=−1+11+11+1+1=0 Since cosC=0,the measure one angle in the triangle is right angle, so that the triangle formed by the given lines is right angled triangle.Talk 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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