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ravi kumar Grade: 10
        

lat  A be avector parallel to line of intersection of two planes P1 and P2 through origin. P1 is parallel to the vectors 2i+3k and 4j-3k and P2 is parallel to j-k and 3i+3j, then the angle between vector A and 2i+j-2k.


 


 


 


ANS; 45 and 135 degree

6 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

P1 is parallel to vector 2i+3j & 4j-3k


normal of P1 = (2i+3j)*(4j-3k)


                   =-9i+6j+8k (let it be B)


normal of plane P2 = (j-k)*(3i+3j)


                           =-3i+3j+3k  (let it be C)


line of intersection of planes will be B*C


     A = B*C


        =(-9i+6j+8k)*(-3i+3j+3k)


        = -6i-3j-9k


angle bw A & 2i+j-2k is


  cos@ = 1/(126)1/2      or 


      @ = cos-1 (1/3sqrt14)

6 years ago
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