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Find the equation of the plane passing t...

Find the equation of the plane passing through the line of intersection of the planes `vecr.(hati+3hatj-hatk)=0` and `vecr.(hatj+2hatk)=0` and also passing through the point `2hati+hatj-hatk`.

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The correct Answer is:
`vecr.(hati+9hatj+11hatk)=0`
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Find the vector equation of the plane passing through the intersection of the planes vecr.(2hati+2hatj-3hatk)=7,vecr.(2hati+5hatj+3hatk)=9 and through the point (2, 1, 3).

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

Find the equation of the plane passing through the point (3, 4, -1) and parallel to the plane vecr.(2hati-3hatj+5hatk)+2=0

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

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

Find the equation of the plane through the line of intersection of vecr.(2hati-3hatj+4hatk)=1 and vecr.(hati-hatj)+4=0 and perpendicular to vecr.(2hati-hatj+hatk)+8=0

Find the vector equation of the line passing through (1, 2, 3) and perpendicular to the plane vecr.(hati+2hatj-5hatk)+9=0

Find the equation of the plane which contains the line of intersection of the planes vecr.(hati+2hatj+3hatk)-4=0,vecr.(2hati+hatj-hatk)+5=0 and which is perpendicular to the plane vecr.(5hati+3hatj-6hatk)+8=0

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-PRACTICE WORK
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  2. Show that the lines (x-5)/(7)=(y+2)/(-5)=z/1 and x/1=y/2=z/3 are perpe...

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  3. Find the co-ordinates of the point where the line (x+1)/(2)=(y+2)/(3)=...

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  4. Find the co-ordinates of the point where the line through A(3, 4, 1) a...

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  5. Find the coordinates of the foot of perpendicular drawn from the point...

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  6. Find the foot of perpendicular from the point (0, 2, 3) on the line (x...

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  7. Find the image of the point (3, 5, 3) with respect to the line x/1=(y-...

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

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

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  10. Find the equation of the plane passing through the point (3, 4, -1) an...

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

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  12. If the points (1, 1, lambda) and (-3, 0, 1) be equidistant from the pl...

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  13. Find the vector equation of the plane containing the lines vecr=(hati+...

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  14. Find the equation of the plane containing two parallel lines (x-4)/(1)...

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  15. Show that the line vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in the...

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  16. Find the image of the point (1, 3, 4) in the plane vecr.(2hati-hatj+ha...

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  17. Find the foot of perpendicular from the point (0, 2, -2) to the plane ...

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  18. Find the point of intersection of the line (x-1)/(2)=(2-y)/(3)=(z+3)/(...

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  19. Find the equation of perpendicular bisector of the plane of the line s...

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  20. Find the direction cosines of the two lines which are connected by the...

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