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Find the Cartesian equation of the follo...

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

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The correct Answer is:
`(s-2t)x+(3-t)y+(2s+t)z=15`
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BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION VI) Short Answer Type Questions
  1. Find the cartesian equation of plane vec(r)*(hat(i)+hat(j)-hat(k))=2

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

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  3. Find the vector equation of the plane whose cartesian from of the equa...

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

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  5. The length of the perpendicular drawn from the origin to 2x-3y+6z+21=0

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  6. Find the intercepts cut off by the plane x+2y-2z=9 with the axes.

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  7. Find the vector and cartesian equation of the plane passing through th...

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  8. Find the equation of the plane passing through origin and parallel to ...

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  9. Find the equation of plane passing through the point (1,4,-2) and para...

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

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

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  12. Find the angle between the following planes vec(r)*(hat(i)+hat(j)-2h...

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  13. Find the angle between the following planes vec(r)*(3hat(i)-4hat(j)+...

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  14. Find the angle between the following pair of lines

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  15. Find the equation of plane passing through the intersection of the pla...

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

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

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

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  19. Find the equation of the through to the line of intersection of the pl...

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  20. Find the equations of the planes passing through the following points ...

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