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If the points (1,1,p) and (-3,0,1) are e...

If the points (1,1,p) and (-3,0,1) are equidistant from the plane `vecr.(3hati+4hatj-12hatk)+13=0` , then find the value o p.

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Find the distance of a point (2,5,-3) from the plane vecr.(6hati-3hatj+2hatk)=5

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Find the distance of the point (2, 1,-1) from the plane vecr.(hati-2hatj+4hatk)=9 .

Find the vector cartesian equation of the plane passing through the points (1, -2, 3) and (-1, 2, -1) and is parallel to the line vecr=(2hati-hatj+hatk)+t(2hati+3hatj+4hatk)

Find the perpendicular distance of the point (2, -3, 3) from the plane vecr*(hati-2hatj-2hatk)=8 .

The vector equation of the plane through the point (2,1,-1) and parallel to the plane vecr.(hati+3hatj-hatk)=0 is

Find the vector and certesian equation of the plane through the points (1, 2, 3) and (2, 3, 1) and perpendicular to the plane vecr*(3hati-2hatj+4hatk)=5 .

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 .

NEW JOYTHI PUBLICATION-THREE DIMENSIONAL GEOMETRY-Ncert Miscellaneous Exercise
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  5. If the lines (x-1)/(-3) =(y-2)/(2k) =(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z...

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

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  7. Find the equation of the plane passing through (a,b,c) are parallel to...

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  8. Find the shortest distance between the lines vecr=6hati+2hatj+2hatk+la...

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  9. Find the coordinates of the point where the line through (5,1,6) and (...

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  10. Find the coordinates of the point where the line through (5,1,6) and (...

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  11. Find the coordinates of the point where the line through (3,-4,-5) and...

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  12. Find the vector and cartesian equations of the plane passing through t...

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  13. If the points (1,1,p) and (-3,0,1) are equidistant from the plane vecr...

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

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  15. If O is the origin and the coordinates of P be (1,2,-3) , then find th...

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  16. Find the equation of the plane which contains the line of intersection...

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  17. Find the angle between the line vecr=(2hati+2hatj+hatk)+lambda(2hati-3...

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

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  19. If a,b , c are distinct +ve real numbers and a^(2)+b^(2)+c^(2)=1" then...

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