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NCERT Class XII Mathematics Chapter - - Solutions

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Question : 62 of 78
Marks: +1, -0
Find the angle between the lines whose direction ratios are a, b, c and b – c, c – a, a – b.
Solution:  
The angle between the given lines is given by
cos⁡θ=a(b−c)+b(c−a)+c(a−b)a2+b2+c2(b−c)2+(c−a)2+(a−b)2=0\cos \theta = \frac{a(b-c)+b(c-a)+c(a-b)}{\sqrt{a^{2}+b^{2}+c^{2}} \sqrt{(b-c)^{2}+(c-a)^{2}+(a-b)^{2}}} = 0
Hence θ = 90°
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