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Find the vector form as well as in Carte...

Find the vector form as well as in Cartesian form, the equation of the line passing through the points `A(1,\ 2,-1)a n d\ B(2,\ 1,\ 1)dot`

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RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. A line passes through the point with position vector 2 hat i-3 hat j+4...

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

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

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

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

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

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

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

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

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

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

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

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  14. Find the Cartesian equations of the line passing through the point (-1...

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  15. The line through hat i+3 hat j+2 hat k and | to the line vec r=( hat...

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  16. Show that the three lines with direction cosines (12)/(13),(-3)/(13),(...

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  17. Show that the line through the points (1, -1, 2) and (3, 4,-2) is p...

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  18. Show that the line through the point (4, 7, 8) and (2, 3, 4) is par...

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  19. Find the Cartesian equation of the line with passes through the point ...

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  20. Show that the lines (x-5)/7=(y+2)/(-5)=z/1andx/1=y/2=z/3 are perpendic...

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