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Prove that the lines through A(0,-1,-1)a...

Prove that the lines through `A(0,-1,-1)a n dB(4,5,1)` intersecrs the line through `C(3,9,2)a n dD(-4,4,4)dot` Also, find their point of intersection.

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RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Find the foot of the perpendicular from the point (0,2,3) on the line ...

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  2. The Cartesian equations of a line are 6x-2=3y+1=2z-2. Find its directi...

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  3. Prove that the lines through A(0,-1,-1)a n dB(4,5,1) intersecrs the li...

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  4. The points A(4, 5, 10), B(2, 3, 4) and C (1, 2,-1) are thr...

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  5. Find the Cartesian equation of a line passing through the points A(2,\...

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  6. Show that the points whose position vectors are 5 hat i+5 hat k ,\ 2 h...

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  7. Find the vector and Cartesian equations of the line through the point ...

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  8. Find the vector equation of the line passing thought the points (-1,\ ...

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  9. Find the vector equation of a line which is parallel to the vector 2 h...

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  10. A line passes through the point with position vector 2 hat i-3 hat j+4...

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  11. A B C D is a parallelogram the position vectors of the points A ,\ B ,...

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  12. Find the vector form as well as in Cartesian form, the equation of the...

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  13. Find the vector equation for the line which passes through the point ...

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  14. The Cartesian equations of a line are (x-5)/3=(y+4)/7=(z-6)/2dot Find ...

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  15. Find the Cartesian equation of a line passing through (1, -1, 2) and ...

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  16. Find the direction cosines of the line (4-x)/2=y/6=(1-z)/3dot Also, re...

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  17. Find the points on the line (x+2)/3=(y+1)/2=(z-3)/2\ at a distance ...

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  18. Show that the points whose position vectors are -2 hat i+3 hat j ,\ h...

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  19. Find the Cartesian and vector equations of a line which passes through...

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  20. The Cartesian equations of a line are 3x+1=6y-2=1-z , find the fixed p...

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