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Find the components of the unit vector p...

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

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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 .

What is the unit vector perpendlcular to each of the vectors overset^i+overset^j,overset^j+overset^k ?

Find the direction cosines of the unit vector perpendicular to the plane vecr.(2hati+3hatj-6hatk)-21=0 , through the origin.

Find the unit vector perpendicular to i + j and i + k .

Write the unit vectors parallel to the vector 3overset^i+overset^j-2overset^k .

Find a unit vector perpendicualr to each of the vectors (oversetrarra+oversetrarrb) (oversetrarra-oversetrarrb) where oversetrarra=overset^i+overset^j+overset^k and oversetrarrb=2overset^i+3overset^k

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.

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

MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the equation of the plane if the point (5,-3,4) is the foot of th...

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

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

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

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

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  6. Find the equation of the plane through the point (2,1,0) and passing t...

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  7. Find the position of the points (1,2,-1) and (2,-1,3) with respect to ...

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  8. Find the intercepts of a plane 3x+4y=7z=84on co-ordinate axes.

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

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  10. Find the equation of the plane passing through the points (1,-1,1) and...

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  11. A plane meets the co-ordinate axes at A,B,C such that the centroid of ...

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  12. Find the equation of the plane through the feet of the perpendlcular d...

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  13. Find equation of a plane through (2,-3,1) and perpendlcular to the lin...

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  14. Find the equation of a plane biscting the line segment joining (-1,4,3...

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  15. Find the equation of planes parallel to the plane 6x-3y-2z+5=0 and at ...

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  16. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

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  17. If the points (-1,3,2), (-4,2,-1) and (5,5,lambda) are collinear, find...

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  18. Find the angle between the plane x+y+z-2=0 and line (x+3)/2=(y-1)/1=(z...

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  19. Find the equation of the plane passing through the point (2,3,1) and p...

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  20. Find the image of the point (3,-2,1) in the plane x-y+3z=2.

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