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If l(1),m(1),n(1) and l(2),m(2),n(2) are...

If `l_(1),m_(1),n_(1)` and `l_(2),m_(2),n_(2)` are the direction cosines of two mutualy perpendicular lines, who that the direction cosines of the line perpendicular to both of these are `ltm_(1)n_(2)-m_(2)n_(1),n_(1)l_(2)-n_(2)l_(1),l_(1)m_(2)-l_(2)m_(1)gt`

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The correct Answer is:
`ltm_(1)n_(2)-m_(2)n_(1),n_(1)l_(2)-n_(2)l_(1),l_(1)m_(2)-l_(2)m_(1)gt`
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OMEGA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Questions
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  6. Find the cartesian equation of the line which passes through the point...

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  7. The vector equation of the line (x-5)/(3)=(y+4)/(7)=(z-6)/(2) is ........

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  8. Find the vector and the cartesian equations of the line that passes th...

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  9. Find the angle between the pair of line vec(r)=2hat(i)-5hat(j)+hat(k...

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  10. Find the angle between the pairs of lines vec(r)=3hat(i)+hat(j)-2hat...

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  11. Find the angle between the pair of lines (x+3)/3 = (y-1)/5 = (z+3)/4an...

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  12. Find the angle between the pair of lines (x-2)/2=(y-1)/5=(z+3)/(-3) an...

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  13. Find the angle between the lines (x)/(2)=(y)/(2)=(z)/(1) and (x-5)/(4)...

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  14. Find the angle between the lines (x+1)/(2)=(y)/(3)=(z-3)/(6) and the p...

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  15. The vector equation of two lines are vec(r)=hat(i)+2hat(j)+hat(k)+la...

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  16. Find the shortest distance between the lines whose vector equations ar...

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  17. Find the shortest distance between the following two lines vec(r)=(1+2...

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  18. The vector equation of two lines are vec(r)=(1-t)hat(i)+(t-2)hat(j)...

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  19. Find the equation of plane passing through (a,b,c) and parallel to the...

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  20. In the following cases, find the co-ordinates of the foot of the perpe...

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  21. In the following case, find the coordinates of the foot of the perpend...

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