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Find the vector equation of the plane pa...

Find the vector equation of the plane passing through the intersection of the planes `vec(r)*(2hat(i)+2hat(j)-3hat(k))+7=0` and `vec(r)*(2hat(i)+5hat(j)+3hat(k))=9` and passing through the point (2,1,3).

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The correct Answer is:
`vec(r)*(38hat(i)+68hat(j)+3hat(k))=153`
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Find the equation of the plane through the intersection of the planes vec(r)*(2hat(i)+hat(j)+3hat(k))=7 and vec(r)*(2hat(i)+3hat(j)+3hat(k))=9 and passing through the point (2,1,3).

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BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE
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  8. Find the equation of the plane passing through the points (0,-1,0),(1,...

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  12. Find the coordinate of the point where the line through the points A(3...

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  13. Find the coordinate of the point where the line through the points A(3...

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  14. Find the coordinate of the point where the line through the points A(3...

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

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  16. Show that the points whose position vectors are -2hat(i)+3hat(j)+5hat(...

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  17. Find the image of the point (2,0,1) in the line (x-3)/(1)=(y+2)/(-2)...

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  18. Find the angle between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (...

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  19. Find the equation of the plane through the points (2, 2, 1) and (9, 3...

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  20. Find the co-ordinates of the foot of perpendicular drawn from the poin...

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