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Find the equation of the plane passing t...

Find the equation of the plane passing through (a, b, c) and parallel to the plane `vecr cdot(hati + hatj + hatk) = 2`

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`vec(r)*(hat(i)+hat(j)+hat(k))=a+b+c`
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Find the vector equation of the line passing through (1, 2, 3) and parallel to the planes vecr.(hati-hatj+2hatk)=5 and vecr.(3hati+hatj+hatk)=6.

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Find the equation of the plane passing through the line of intersection of the planes vecr cdot (hati+hatj+hatk) = 1 and vecr cdot(2hati+3hatj-hatk)+4 = 0 and parallel to x-axis.

Find the vector equation of the plane passing through the intersection of the planes vecr cdot (hati+hatj+hatk) = 6 and vecr cdot(2hati + 3hatj+4hatk) = -5 , and the point (1, 1, 1).

Find the vector equation of the plane passing through the intersection of the planes vecr cdot (2hati+2hatj-3hatk) = 7, vecr cdot(2hati + 5hatj + 3hatk) = 9 and through the point (2, 1, 3)

Write the vector equations of the plane throught the point (a,b,c) and parallel to the plane vecr.(hati+hatj+hatk)=2 .

Find the vector and Cartesian form of the equation of the plane passing through the point (1, 2, -4) and parallel to the lines vecr=hati+2hatj-4hatk+lamda(2hati+3hatj+6hatk) and vecr=hati-3hatj+5hatk+mu(hati+hatj-hatk) .

Find the equation of the line passing through the point (2, -1, 3) and perpendicular to the lines : vecr=(hati-hatj+hatk)+lambda(2hati+hatj-3hatk) and vecr=(hati+hatj-hatk)+mu(hati+hatj+hatk)

Find the equation of the line passing through the point (1,-2,3) and perpendicular to the lines : vecr=(hati-2hatj+hatk)+lambda(hati+hatj+hatk) and vecr=(hati-hatj+2hatk)+mu(3hati-2hatj-5hatk)

BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE
  1. Find the foot of perpendicular drawn from origin to the plane 2x+3y+4z...

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

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

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

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

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

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

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

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

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  10. Find the angle between the pair of lines (x+3)/3 = (y-1)/5 = (z+3)/4an...

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  11. Find the shortest distance between the lines vec(r)=hat(i)+hat(j)+la...

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  12. Find the coordinate of the point where the line through the points A(3...

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  13. Find the coordinate of the point where the line through the points A(3...

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  14. Find the coordinate of the point where the line through the points A(3...

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  15. Find the vector equation of the plane passing through the intersection...

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  16. Show that the points whose position vectors are -2hat(i)+3hat(j)+5hat(...

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  17. Find the image of the point (2,0,1) in the line (x-3)/(1)=(y+2)/(-2)...

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  18. Find the angle between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (...

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  19. Find the equation of the plane through the points (2, 2, 1) and (9, 3...

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  20. Find the co-ordinates of the foot of perpendicular drawn from the poin...

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