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Find the vector equation of the plane wh...

Find the vector equation of the plane which is at a distance of 7 units from the origin and which is normal to the vector `3hat(i)+5hat(j)-6hat(k)`.

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The correct Answer is:
`vec(r)*(3hat(i)+5hat(j)-6hat(k))=7sqrt(70)`
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BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE
  1. vec(r)=(1-t)hat(i)+(t-2)hat(j)-(3-2t)hat(k) and vec(r)=(1-t)hat(i)(t-...

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  2. Find the angle between these two lines (x+2)/(1)=(y-1)/(-2)=(z-1)/(1) ...

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  3. Find the vector equation of the plane which is at a distance of 7 unit...

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  4. Find the equation of the plane through intersection of the planes : ...

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  5. Find the equation of the plane passing through the points (1,2,-1),(...

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  6. Find the equation of the plane passing through the points (1,1,0),(1...

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  7. Find the direction cosine of a line parallel to the line (2x-5)/(4)=(y...

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  8. Find the equation of the straight line passing through the point (2,-1...

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  9. Find the equation of a plane through the points (1,0,1),(1,2,-2),(2,...

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  10. Find the equation of a plane passing through the points (1,1,2) and (1...

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  11. Find the equation of the plane through the point (-1, -1, 2) and (3, 4...

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  12. Find the equation of the plane passing through the point(-1, 3, 2) and...

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  13. A variable plane which is at a constant 6 p from the origin meets the ...

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  14. Show that the lines (x-1)/(2)=(y-3)/(4)=-z and (x-4)/(2)=(y-1)/(-2)=(z...

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  15. Show that the lines (x+3)/-3=(y-1)/1=(z-5)/5 and (x+1)/-1=(y-2)/2=(z-5...

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  16. Prove that the lines : (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-...

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  17. Prove that if a plane has the intercepts a, b, c and is at a distance ...

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

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  19. Find the equation of the plane through the intersection of the planes ...

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  20. Find the equation of the straight line through the point (1,-3,2) and ...

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