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Find the foot of the perpendicular drawn from the point `2 hat i- hat j+5 hat k` to the line ` vec r=(11 hat i-2 hat j-8 hat k)+lambda(10 hat i-4 hat j-11 hat k)dot` Also find the length of the perpendicular.

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RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
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  2. By computing the shortest distance determine whether the following ...

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  4. By computing the shortest distance determine whether the following ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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