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Find the vector equation of the plane th...

Find the vector equation of the plane through the intersection of the planes `vec(r)*(hat(i)+hat(j)+hat(k))=6` and `vec(r)*(2hat(i)+3hat(j)+4hat(k))=-5` and the point (1,1,1).

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The correct Answer is:
`vec(r)*(20hat(i)+23hat(j)+26hat(k))=69`
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BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION VI) Short Answer Type Questions
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  2. Find the intercepts cut off by the plane x+2y-2z=9 with the axes.

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

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

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

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

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

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  10. Find the angle between the following pair of lines

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

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

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

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

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

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

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