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Find the cartesian equations of the following planes: `vecr*(3hati+3hatj-2hatk)=3`

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Find the Cartesian equation of the following plane: vecr cdot [(s-2t)hati + (3-t)hatj + (2s+t)hatk] = 15

Find cartesian equations of the plane containing the lines: vecr=2hati+hatj-3hatk+lambda(hati+2hatj+5hatk) and vecr=3hati+3hatj-7hatk+mu(3hati-2hatj+5hatk)

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the vector equation of the plane whose cartesian form of equation...

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  2. Find the vector equation of the plane whose cartesian form of equation...

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  3. Find the cartesian equations of the following planes: vecr*(3hati+3hat...

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  4. Find the cartesian equations of the following planes: vecr*(2hati+3hat...

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  5. Find the Cartesian equation of the following plane: vecr cdot [(s-2t)h...

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  6. What are the direction cosines of the normal to the plane 3x+2y-3z=8?

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  7. Find the direction cosine of the perpendicular from origin to plane ve...

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  8. Find the vector equation of the line through the origin, which is perp...

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  9. Find the distance of the points (2,3,4) from the plane vec(R)*(3hat(i)...

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  10. Find the distance of a point (2,5,-3) from the plane vec(R)*(6hat(i)-3...

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  11. Find the distance from (1,2,3) to the plane 2x+3y-z+2=0

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  12. Find the length of the perpendicular drawn from the origin to the plan...

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  13. Find a unit vector normal to the plane : vecr*(2hati-3hatj+6hatk)+14=0...

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  14. Find the angle between the two planes 3x-6y+2z = 7 and 2x+2y-2z = 5

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  15. Find the angle between the planes : 4x+8y+z=8 and y+z=4

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  16. Find the angle between the following planes 2x-y-z=6 and x+y+2z=7

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  17. Find the angle between the planes : vecr*(2hati+2hatj-3hatk)=5 and vec...

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  18. Find the angle between the planes : vecr*(2hati+2hatj-3hatk)=5 and vec...

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  19. Find the value of k for whicj the planes: 3x-6y-2z=7 and 2x+y-kz=5 are...

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  20. The position vectors of two points A and B are 3 hati+hatj+2hatk and h...

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