Class 12 Maths Three Dimensional Geometry Angle between two lines

Angle between two lines (in terms of Direction ratios)

Let L1 and L2 be two lines passing through the origin and with direction ratios (a1, b1, c1) and (a2, b2, c2) respectively.

Let P be a point on L1 and Q be a point on line L2.

Let ϴ = angle between OP and OQ.

Note:- In case the lines L1 and L2do not pass through the origin, we may takelines L’1 and L’2 which are parallel to L1 andL2 respectively and pass through the origin.

 

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