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Show that the lines (x-1)/(3)=(y+1)/(2)=...

Show that the lines `(x-1)/(3)=(y+1)/(2)=(z-1)/(5)` and `(x+2)/(4)=(y-1)/(3)=(z+1)/(-2)` do not intersect.

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The lines (x)/(1)=(y)/(2)=(z)/(3) and (x-1)/(-2)=(y-2)/(-4)=(3-z)/(6) are

Show that the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=z intersect. Find the point of intersection.

Show that the lines (x+1)/(3)=(y+3)/(5)=(z+5)/(7) and x-2=(y-4)/(3)=(z-6)/(5) intersect and find their point of intersection.

If the lines (x-1)/(2) = (y +1)/(3) = (z-1)/(4) and (x-3)/(1) = (y - k)/(2) = (z)/(1) intersect, then k is equal to-

Find the distance between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x)/(2)=(y-5)/(3)=(z+1)/(4)

The angle between the lines (x+1)/(3)=(y-2)/(-2)=(z+4)/(1) and (x-3)/(1) =(2y-3)/(5)=(z-2)/(2) is -

Slow that the lines (x-5)/(7)=(y+2)/(-5)=(z)/(1) and (x)/(1)=(y)/(2)=(z)/(3) are perpendicular to each other.

The angle between the pair of lines (x-2)/(1)=(y+3)/(-2)=(z-4)/(2) and (x+1)/(-6)=(y-2)/(-3)=(z+5)/(2) is -

If the shortest distance between the lines (x-1)/(1)=(y-1)/(1)=(z-1)/(1) and (x-2)/(1)=(y-3)/(1)=(z-4)/(1) is equal to sqrt(K) unit, then the value of K is -

If the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=(z-0)/(1) intersect, then the coordinates of their point of intersection are -

CHHAYA PUBLICATION-STRAIGHT LINE IN THREE DIMENSINAL SPACE -Exercise 4A
  1. If the coordinates of the points A,B,C,D be (1,2,3), (4,5,7), (-4,3,-6...

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

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

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  4. Show that the line through P(3,9,4) and Q(-4,4,4)) intersect the line ...

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  5. Find whether the lines vec(r)=(2hat(i)+3hat(j)+hat(k))+t(5hat(j)-4hat(...

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  6. Determine whether the following pair of lines intersect or not : (i)...

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  7. The perpendicular distance of the points (1,0,0) from the y-axis is -

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  8. The perpendicular distance of the point (1,1,0) from the z-axis is -

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  9. The perpendicula distance of the points (1,1,1) from the x-axis is -

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  10. The perpendicular distance of the point (1,2,3) from the x-axis is -

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  11. Find the distance of the point (1,0,0) from the line (x-1)/(2)=(y+1)/(...

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  12. A(1,0,4), B(0,-11,3), C(2,-3,1) are three points and D is the foot of ...

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  13. Find the length of the perpendicular drawn from the point (5,4,-1) to ...

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  14. Let l(1),m(1),n(1),l(2),m(2),n(2)" and "l(3),m(3),n(3) be the durectio...

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  15. Find the equation of the perpendicular drawn from the point P(-1,3,2) ...

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  16. Find the equation of the line passing through the points A(0,6,-9) and...

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  17. The shortest distance between the lines vec(r)=vec(a)+tvec(b) and vec(...

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  18. The shortest distance between the lines vec(r)=vec(a)(1)+tvec(b)(1) an...

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  19. The condition for intersecting the lines vec(r)=vec(a)(1)+tvec(b)(1) a...

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  20. The condition for collinearity for the two parallel lines vec(r)=vec(a...

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