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The equation of the line which passes through the point (1,2,3) and parallel to the vector 3i+2j-2k is

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Consider the line 4x-3y+12=0 Find the equation of the line passing through the point (1,2) and parallel to the given line.

Find the vector and cartesian equations of the plane which passes through the point (5,2,-4) and perpendicular to the line with direction ratios 2,3,-1

Write the Cartesian equation of the straight line through the point (1,2,3) and along the vector 3i+j+2k

Find the Cartesian equation of the plane passing through the point (1,2,-3) perpendicular to the vector2i-j+2k .

Find the Cartesian equation of the plane passing through the point (1,2,-3) perpendicular to the vector2i-j+2k . Find the angle between the Plane and the line (x-1)/2=(y-3)/3=z/6

Find the equation of the line passing through the points (3,-2) and (-1,4).

The vector equation of the plane through the point (2,1,-1) and parallel to the plane r.(i+3j-k)=0 is a) r.(i+9j+11k)=6 b) r.(i-9j+11k)=4 c) r.(i+3j-k)=6 d) r.(i+3j-k)=4

Write the Cartesian equation of the straight line through the point (1,2,3) and along the vector 3i+j+2k .Write a general point on this straight line.

Write the Cartesian equation of the straight line through the point (1,2,3) and along the vector 3i+j+2k .Find the point of intersection of this straight line with the plane 2x+3y-z+2=0

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V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Show that the line through the points (1, -1, 2) and (3, 4,-2) is p...

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  2. Show that the line through the points (4, 7, 8), (2, 3, 4)is parallel...

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  3. The equation of the line which passes through the point (1,2,3) and pa...

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  4. Find the equation of the line in vector and in cartesian form that pas...

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

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

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  7. Find the Cartesian equation of the line passing through origin and (5,...

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  8. Find the vector and the cartesian equations of the lines that passes t...

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  9. Find the angle between the following pairs of lines: i) vecr=2 hati-5...

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  10. Find the angles between the lines (x-2)/2=(y-1)/5=(z+3)/-3 and (x+...

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

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

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  13. Find the shortest distance between the skew lines ⃗ r = ( ⃗ i + 2 ⃗ j...

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

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

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  16. Find the shortest distance between the lines whose vector equations a...

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  17. Find the vector equation of the plane which is at a distance of 6/(sqr...

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  18. Find the direction cosines of the unit vector perpendicular to the pla...

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  19. Find the distance of the plane 2x - 3y + 4z - 6 = 0 from the origin.

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  20. Find the coordinates of the foot of the perpendicular drawn from the ...

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