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

Show that the line through P(3,9,4) and Q(-4,4,4)) intersect the line through R(0,-1,-1) and S(4,5,1) and find the point of intersection.

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The correct Answer is:
(10,14,4)
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CHHAYA PUBLICATION-STRAIGHT LINE IN THREE DIMENSINAL SPACE -Exercise 4A
  1. Show that the lines (x+1)/(3)=(y+3)/(5)=(z+5)/(7) and x-2=(y-4)/(3)=(z...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. The lines vec(r)=hat(i)+t(5hat(i)+2hat(j)+hat(k)) and vec(r)=hat(i)+s(...

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