Angle between the lines with direction ratios a1, b1, c1 and a2, b2, c2 is given byGiven -a1 = a, b1 = b, c1 = ca2 = b - c, b2 = c - a, c2 = a - bSo, = 0∴ cosθ = 0So, θ = 90°Hence, Angle between the given pair of Lines is 90°.

Q. 34.2( 25 Votes )

Find the angle be

Class 12th NCERT - Mathematics Part-II 11. Three Dimensional Geometry

Answer :

Angle between the lines with direction ratios a₁, b₁, c₁ and a₂, b₂, c₂ is given by

Given -

a₁ = a, b₁ = b, c₁ = c

a₂ = b - c, b₂ = c - a, c₂ = a - b

So,

= 0

∴ cosθ = 0

So, θ = 90°

Hence, Angle between the given pair of Lines is 90°.

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