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Find the vector equation of the plane th...

Find the vector equation of the plane through the intersection of the planes
`vec(r)*(2hat(i)-2hat(j)+3hat(k))=2,vec(r)*(hat(i)-3hat(j)+2hat(k))=-3` and the point (1,2,3).

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Find the cartesian and vector equations of the planes passing through the intersection of te planes vec(r)*(2hat(i)+6hat(j))+12=0 and vec(r)*(3hat(i)-hat(j)-4hat(k))=0 which are at a unit distance from the origin.

BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE
  1. Prove that the lines : (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-...

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  2. Prove that if a plane has the intercepts a, b, c and is at a distance ...

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  3. Find the vector equation of the plane through the intersection of the ...

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  4. Find the equation of the plane through the intersection of the planes ...

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  5. Find the equation of the straight line through the point (1,-3,2) and ...

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  6. Find the equation of the straight line passing through the point (2,3,...

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  7. Find the shortest distance between the line vec(r)=hat(i)-7hat(j)-2hat...

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  8. Find the equation of the plane through the point (1,1,1), parallel to ...

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  9. Find the distance between the point with position vector -hat(i)-5hat(...

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

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

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  12. Find the foot of perpendicular drawn from origin to the plane 2x+3y+4z...

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

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  14. Find the equation of the plane passing through (a, b, c) and parallel ...

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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 ar...

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

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  18. Find the equation of the plane through the points (0,-1,0),(2,1,-1) an...

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  19. Find the equation of the plane passing through the points (0,-1,0),(1,...

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  20. Find the equation of the plane passing through the points (2,2,1), (9,...

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