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Write the vector equation of the plane p...

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

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

The equation of plane passing through the point hati+hatj+hatk and paralel to the plane vecr.(2hati-hatj+2hatk)=5 is

Find the vector equationof the line passing through the point (3,1,2) and perpendicular to the plane vecr.(2hati-hatj+hatk)=4 . Find also the point of intersection of this line and the plane.

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

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

Find the vector equation of line passing through the point (-1, 2, 1) and parallel to the line vecr=2hati+3hatj-hatk+lamda(hati-2hatj+hatk) . Also , find the distance between these lines .

Find the vector equation o the line passing through (1,2,3) and parallel to the planes vecr.(hati+hatj+2hatk)=5 and vecr.(3hati+hatj+hatk)=6

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Find the equation of a line passing through the point (2,-3,5) and parallel to vector (3hati+2hatj-hatk) .

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RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Write the intercept cut off by the plane 2x+y-z=5 on x-axis.

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  2. Find the length of the perpendicular drawn from the origin to the p...

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  3. Write the vector equation of the line passing through the point (1, -2...

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  4. Write the vector equation of the plane passing through the point (a, b...

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  5. The acute angle between the planes 2x-y+z=6\ a n d\ x+y+2z=3 is 45^0\ ...

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  6. The equation of the plane through the point of intersection of plane x...

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  7. The distance between the planes 2x+2y-z+ 2=0\ a n d\ 4x+4y-2z+5=0 is a...

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  8. The image of the point (1, 3, 4) in the plane 2x-y+z+3=0 is (3,\ 5,\ 2...

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  9. Find the vector equation of the following plane in scalar product form...

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  10. The distance of the line vec r=2 hat i-2 hat j+3 hat k+lambda( hat i-...

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  11. The equation of the plane through the line x+y+z+3=0=2x-y+3z+1 and par...

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  12. The vector equation of the plane containing the line vec r=(-2 hat ...

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  13. A plane meets the coordinate axes at A ,\ B ,\ C such that the centroi...

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  14. The distance between the point (3,4, 5) and the point where the line (...

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  15. A vector parallel to the line of intersection of the planes vec r=dot...

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  16. If plane passes through the point (1, 1,1) and is perpendicular to the...

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  17. The equation of the plane parallel to the lines x-1=2y-5=2z and 3x = 4...

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  18. The distance of the point (-1, -5, -10) from the point of intersection...

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  19. The equation of the plane through the intersection of the plane a x+b ...

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  20. The equation of the plane which cuts equal intersects of unit length o...

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