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If `,"l"_1,"m"_1,("\ n")_1("\ and\ l")_2,"m"_2,"n"_2` be the direction cosines of two lines, show that the directioin cosines of the line perpendicular to both them are proportional to `("m"_1("\ n")_2-"m"_2"n"_1),"\ "("n"_1"l"_2-"n"_2"l"_1),"\ "("l"_1"m"_2-"l"_2"m"_1)`

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RD SHARMA ENGLISH-DIRECTION COSINES AND DIRECTION RATIOS-All Questions
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  2. Find the direction cosines of the line which is perpendicular to the...

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  3. If ,"l"1,"m"1,("\ n")1("\ and\ l")2,"m"2,"n"2 be the direction cosi...

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  4. If ,"l"1,"m"1,("\ n")1("\ and\ l")2,"m"2,"n"2 be the direction cosi...

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  7. if a line has direction ratio 2,-1,-2,determine its direction cosine

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  8. Find the direction cosines of the line passing through two points

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  9. Using direction ratios show that the points A(2,3,-4), B(1,-2,3) an...

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  10. Find the direction cosines of the sides of the triangle whose vertic...

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  11. Find the angel between the vectors with direction ratios proportion...

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  12. Find the acute angle between the lines whose direction ratios are p...

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  13. Show that the points (2,3,4),(-1,-2,1),(5,8,7) are collinear.

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  14. Show that the line through the points (4, 7, 8), (2, 3, 4)is parallel...

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  15. Show that the line joining the origin to the point (2,1,1) is perpe...

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  16. Find the angle between the lines whose direction ratios are proport...

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  17. If the coordinates of the points A ,\ B ,\ C ,\ D\ b e\ (1,\ 2,\ 3),\ ...

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  18. Find the direction cosines of the lines, connected by the relations...

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  19. Find the angle between the lines whose direction cosine are given by...

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  20. Find the angle between the lines whose direction cosine are given by...

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