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Find the vector equation of plane that p...

Find the vector equation of plane that passes through the point (1,0,-2) and the normal to the plane is `hat(i)+hat(j)-hat(k)`.

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Find the eqution of a line which is passes through the point (1,1,1) and parallel to 2hat(i)+hat(j)-3hat(k) .

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Find the equation of the straight line passing through the point (2,-1,3) and perpendicular to the lines vec(r)=(hat(i)+hat(j)-hat(k))+lamda(2hat(i)+hat(j)-3hat(k)) and vec(r)=(hat(i)-hat(j)-hat(k))+mu(hat(i)+hat(j)+hat(k)) .

Find the equation of plane passing through the point (1, 2, 3) and having the vector r=2hat(i)-hat(j)+3hat(k) normal to it.

OMEGA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Questions
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  7. Find the shortest distance between the lines (x+1)/(7)=(y+1)/(-6)=(...

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  8. Find the co-ordinates of the points where the line through the points ...

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  9. Find the vector equation of the plane which is at a distance of 7 unit...

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  10. Find the cartesian equation of plane vec(r)*(hat(i)+hat(j)-hat(k))=2

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

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  12. Find the equations of the plane that passes through three points : (1,...

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  13. Find the equation of the plane passing through the point ( 1, -1 , 2) ...

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  14. Find the intercepts cut off by the plane 2x+y-z = 5

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

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

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

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  18. Find the equation of the plane passing through the line of intersectio...

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  19. Find the angle between the planes whose vector equations are vec(r)(...

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  20. Find the vector equation of plane that passes through the point (1,0,-...

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