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Find the Cartesian equation of a line pa...

Find the Cartesian equation of a line passing through the points `A(2,\ -1,\ 3)a n d\ B(4,\ 2,\ 1)dot` Also reduce it to vector form.

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RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Prove that the lines through A(0,-1,-1)a n dB(4,5,1) intersecrs the li...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Prove that the line x=a y+b ,\ z=c y+d\ a n d\ x=a^(prime)y+b^(prime),...

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  20. Find the equation of a line passing through a point (2, -1, 3) and p...

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