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Find the value of p so that the lines (1...

Find the value of p so that the lines `(1-x)/3=(7y-14)/(2p)=(z-3)/2` and `(7-7x)/(3p)=(y-5)/1=(6-z)/5` are at right angles.

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Find the values of p so that the lines (1-x)/3 = (7y-14)/2p = (z-3)/2 and (7-7x)/3p = (y-5)/1 = (6-z)/5 are at right angles.

Find the value of p so that the lines : l_1:(1-x)/3=(7y-14)/(2p)=(z-3)/2 and l_2: (7-7x)/(3p)=(y-5)/1=(6-z)/5 are at right angles. also find the equations of the line passing through (3,2,-4) and parallel to line l_1 .

If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(2) and (x-1)/(3k)=(y-1)/(1)=(z-6)/(-5) are perpendicular, find the value of k.

Find the angle between these two lines (x+2)/(1)=(y-1)/(-2)=(z-1)/(1) and (x-3)/(2)=(y+5)/(-2)=(z-7)/(1) .

Find the image of point (0, 3, 7) in the line (x-4)/3=(y+3)/2=(z-6)/-1

If the lines (x-1)/-3 = (y-2)/2k = (z-3)/2 and (x-1)/3k = (y-1)/1 = (z-6)/-5 are perpendicular, find the value of k

Find the image of the point (1, 2, 3) in the line (x-6)/(3)=(y-7)/(2)=(z-7)/(-2) .

Find the shortest distance between the lines ((x+1)/7=(y+1)/-6=(z+1)/1 and (x-3)/1=(y-5)/-2=(z-7)/1)

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the angle between the following pair of lines: (x-2)/2=(y-1)/5=(z...

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  2. Find the angle between the following pair of lines: x/2=y/2=z/1 and (x...

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  3. Find the value of p so that the lines (1-x)/3=(7y-14)/(2p)=(z-3)/2 and...

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  4. Show that the lines (x-5)/7 = (y+2)/-5 = z/1 and x/1 = y/2 = z/3 are p...

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  5. Find the shortest distance between the lines vecr = (hati + 2hatj+hatk...

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  6. Find the shortest distance between the lines ((x+1)/7=(y+1)/-6=(z+1)/1...

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  7. Find the shortest distance between the lines whose vector equations ar...

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  8. Find the shortest distance between the following lines whose vector eq...

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  9. In the following, determine the direction cosines of the normal to the...

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  10. Determine the direction cosines of the normal to the plane and the dis...

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  11. In each of the following cases, determine the direction cosines of the...

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  12. In the following, determine the direction cosines of the normal to the...

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  13. Find the vector equation of a plane, which is at a distance of 7 units...

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  14. Find the cartesian equation of the following planes. vecr.(hati+hatj-h...

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  15. Find the cartesian equation of the following planes. vecr.(2hati+hatj-...

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  16. Find the Cartesian equation of the following plane: vecr cdot [(s-2t)h...

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  17. In the following case, find the coordinates of the foot of the perpend...

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  18. In the following case, find the coordinates of the foot of the perpend...

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  19. In the following cases, find the co-ordinates of the foot of the perpe...

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  20. In the following case, find the coordinates of the foot of the perpend...

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