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Question

Mathematics Question on Three Dimensional Geometry

If a1,b1,c1a_1 ,b_1 ,c_1 and a2,b2,c2a_2 , b_2 ,c_2 are the d.rs of two lines then (a1a2+b1b2+c1c2)2+(b1c2b2c1)2=( a_1 a_2 + b_1 b_2 + c_1 c_2)^2 + \sum (b_1 c_2 - b_2 c_1)^2 =

A

(a1+b1+c1)(a2+b2+c2)(a_1 + b_1 +c_1)(a_2 + b_2 +c_2)

B

(a1b1c1)(a2b2c2)(a_1 b_1 c_1)(a_2 b_2 c_2)

C

1

D

(a12+b12+c12)(a22+b22+c22) ( a_1^2 + b_1^2 +c_1^2)(a_2^2 + b_2^2 + c^2_2 )

Answer

(a12+b12+c12)(a22+b22+c22) ( a_1^2 + b_1^2 +c_1^2)(a_2^2 + b_2^2 + c^2_2 )

Explanation

Solution

Answer (d) (a12+b12+c12)(a22+b22+c22) ( a_1^2 + b_1^2 +c_1^2)(a_2^2 + b_2^2 + c^2_2 )