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Find the equation of the plane passing t...

Find the equation of the plane passing through the intersection of the planes `_r^"-"=(overset^i+overset^j+overset^k)=1` and `_r^"-"=(overset^2i+overset^3j+overset^k)+4=0` and parallel to x=axis.

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Find the angle between the planes oversettor.(2overset^i-overset^j+2overset^k)=6 and oversettor.(3overset^i+6overset^j-2overset^k)=9

Show that the normals to the planes oversettor.(overset^i-overset^j+overset^k)=3 and oversettor.(3overset^i+2overset^j-overset^k)=0 are perpendicular to each other.

Find the components of the unit vector perpendicular to the plane r^rarr(2overset^i+3overset^j-6overset^k)-6=0

What is the angle between the vectors oversetrarra=overset^i+overset^j+overset^k and oversetrarrb=2overset^i-overset^j+overset^k

If the vectors alphaoverset^i+3overset^j+overset^k and 2overset^i+overset^j+overset^k are perpendicular, what is alpha

What is the scalar projection of the vector oversetrarra=overset^i+overset^j+overset^k on oversetrarrb=2overset^i+2overset^j-overset^k

Write the vector equation of a line through the point (1,2,3) and parallel to the vector 3overset^i+2overset^j-2overset^k

What is the scalar product of the vectors oversetrarra=2overset^i+overset^j+2overset^k and oversetrarrb=overset^i-2overset^j+overset^k

If oversetrarra=overset^i+2overset^j-3overset^k and oversetrarrb=3overset^i-overset^j+2overset^k then find the angle between

Find the scalar components of the unit vector which is perpendicular to the vectors overset^i+2overset^j-overset^k and 3overset^i-overset^j+2overset^k .

MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. The angle between the plane 3x+3z-5=0 and the line (x-1)/1=(y-2)/-1=(z...

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  2. If the lines (x-1)/k=(y-3)/2=(2-z)/-5 and (x-1)/3=(2-y)/-4=z/k are per...

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

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  4. Find the co-ordinates of the foot of the perpendicular drawn from the ...

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  5. If the points (-1,-1,2), (2,m,5) and (3,11,6) are collinear, then find...

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  6. Two vertices of a tringle are (1,2,3) and (3,-2,7) and centroid is (2,...

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  7. Show that the points (1,2,3), (2,3,1) and (3,1,2) from an equilateral ...

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  8. Find the direction cosines of the line segment joining (1,-1,2) and (...

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  9. Find the projection of the line segment joining (1,2,3) and (2,3,4) on...

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  10. If P,Q,R,S are points (1,2,5), (-2,1,3), (4,4,2) and (2,1,-4) respecti...

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  11. If A,B,C are points (0,4,1), (2,3,-1), ), (4,5,0) find the angle that ...

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  12. Find the acute angle between the lines whose d.rs are (1, 1, 2) and (s...

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  13. Find the equation of the plane passing through the points (2,1,3), (3,...

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  14. Find the equation of the plane parallel to z-axis and with intercepts ...

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  15. Find the equation of the plane through the point (-1,3,0), which is pe...

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  16. Find the equation of the plane if the point (5,-3,4) is the foot of th...

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  17. Find the equation of a plane which is at a distance 3 units from the o...

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  18. Find the components of the unit vector perpendicular to the plane r^ra...

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  19. Writing the equation of the plane 3x-2y+z+2=0 in normal form find its ...

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  20. Find the angle between the planes x+2y+3z+1=0 and 3x+2y+z+2=0

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