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Find the vector equation of the plane th...

Find the vector equation of the plane through the points (2,1,-1) and (-1,3,4) and perpendicular to the plane `x-2y+4z=10`.

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The correct Answer is:
`vec(r)*(18hat(i)+17hat(j)+4hat(k))=49`
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BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION VIII) Long Answer Type Questions
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  2. Find the image of the point P(3,4,2) in the line vec(r)=-hat(i)+3hat(j...

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  3. 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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  4. Write the vector equation of the following lines and hence find distan...

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  6. Find the equation of the plane passing through the points (2,1,0), (3,...

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  7. Find the equation of the plane through the points (2,-3,-1) and (5,2,-...

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  8. Find the vector equation of the plane through the points (2,1,-1) and ...

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  9. Find the equation of the plane passing through (1,1,-1) and perpendicu...

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  11. Find the length and the foot of the perpendicular from the point (7, 1...

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  12. Find the image of (2,-1,3) in the plane 3x-2y-z=9.

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  13. A variable plane which remains at a constant distance 3p from the orig...

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  14. Find the cartesian and vector equations of the planes passing through ...

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  16. Find the distance of the point (2,3,4) measured parallel to the line (...

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  17. Find the distance of the point (-2,3,-4) from the line. (x+2)/(3)=(2...

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  18. Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...

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