The direction cosines of three mutually perpendicular straight lines are l1,m1,n1,l2,m2,n2,l3,m3,n3. Then the direction cosines of a line which is equally inclined to the given three lines, are

The direction cosines of three mutually perpendicular straight lines are l1,m1,n1,l2,m2,n2,l3,m3,n3. Then the direction cosines of a line which is equally inclined to the given three lines, are

  1. A

    l1+l2+l3,m1+m2+m3,n1+n2+n3

  2. B

    l1+l2+l33,m1+m2+m33,n1+n2+n33

  3. C

    l1+l2+l33,m1+m2+m33,n1+n2+n33

  4. D

    l1+l2+l32,m1+m2+m32,n1+n2+n32

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    Solution:

    Given  l1,m1,n1,l2,m2,n2,l3,m3,n3are the direction cosines of three mutually perpendicular lines 

    It implies that l1l2=l2l3=l1l3=0,l12=l22=l32=1

    Hence the direction cosines of line which is equally inclined to the above lines are l1+l2+l33,m1+m2+m33,n1+n2+n33,

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