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Find the angle between the two …

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Find the angle between the two lines whose direction cosines are given by the equation l+m+n=0, l^2+m^2+n^2=0

Posted by Akash Pandey 4 years, 7 months ago

CBSE > Class 12 > Mathematics

1 answers

Gaurav Seth 4 years, 7 months ago

Answer : π/3

We know that angle between two lines is

l +m +n= 0
⇒ l = - (m+n)
⇒ (m+n)² = l²
⇒ m² +n² +2mn = m² +n²
[∵ l² = m² +n², given]
⇒ 2mn = 0
when m = 0 ⇒ l =-n
Hence, (l, m, n) is (1,0-1)
When n =0, then l =-m
Hence, (l,m,n) is (1,0-1)

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