Questions
The angle between two straight lines is . One line has direction cosines and the other line has direction ratios . Then
a
325
b
1125
c
113
d
3411
detailed solution
Correct option is C
If θ is the acute angle between two lines having direction ratios a1,b1,c1and a2,b2,c2 thencosθ=a1a2+b1b2+c1c2a12+b12+c12⋅a22+b22+c22 Given α is angle between two lines having direction ratios 12,12,12 and0,1,2Hence,cosα=120+121+1221⋅02+12+22=325Use right angled triangle, to get the value of tanαTherefore,tanα=113Talk 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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