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Find the acute angle between the lines `(x-1)/l=(y+1)/m=1/na n d=(x+1)/m=(y-3)/n=(z-1)/lw h e r el > m > n ,a n dl ,m ,n` are the roots of the cubic equation `x^3+x^2-4x=4.`

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CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Find the angel between the following pair of lines: vec r=2 hat i...

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  2. Fid the condition if lines x=a y+b ,z=c y+da n dx=a^(prime)y+b^(prime)...

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  3. Find the acute angle between the lines (x-1)/l=(y+1)/m=1/na n d=(x+...

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  4. Find the length of the perpendicular drawn from point (2,3,4) to li...

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  5. Find the coordinates of the foot of the perpendicular drawn from po...

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  6. Find the vector equation of the line passing through (1,2,3) and pa...

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  7. Find the value of m for which thestraight line 3x-2y+z+3=0=4x+3y+4z+1...

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  8. Show that the lines (x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alph...

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  9. Find the equation of line x+y-z-3=0=2x+3y+z+4 in symmetric form. Find ...

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  10. Find the vector equation of line passing through the point (1,2,-4)...

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  11. Find the vector equation of line passing through A(3,4-7)a n dB(1,-...

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  12. Find Cartesian and vector equation of the line which passes through...

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  13. Find the equation of a line which passes through the point (2,3,4) ...

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  14. Find the points where line (x-1)/2=(y+2)/(-1)=z/1 intersects x y ,y za...

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  15. A mirror and source of light are situated at the origin O and a point ...

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  16. The Cartesian equation of a line is (x-3)/2=(y+1)/(-2)=(z-3)/5 . Fi...

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

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  18. A line passes through the point with position vector 2 hat i-3 hat ...

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  19. Find the plane of the intersection of x^2+y^2+z^2+2x+2y+2=0 and 4x^2...

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  20. Let l1a n dl2 be the two skew lines. If P ,Q are two distinct points o...

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