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Find the angle between the planes whose ...

Find the angle between the planes whose vector equations are
`vec(r)(2hat(i)+2hat(j)-3hat(k))=5` and `vec(r)*(3hat(i)-3hat(j)+5hat(k))=3`.

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The correct Answer is:
`cos^(-1)((15)/(sqrt(731)))`
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Find the angle between the following planes vec(r)*(hat(i)+hat(j)-2hat(k))=3 and vec(r)*(2hat(i)-2hat(j)+hat(k))=2

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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).

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

OMEGA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Questions
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  2. Find the equation of plane passing through (a,b,c) and parallel to the...

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  3. In the following cases, find the co-ordinates of the foot of the perpe...

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  4. Find the co-ordinates of the foot of perpendicular drawn from the orig...

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

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  6. Find vector equation of line passing through (1,2,3) and perpendicular...

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  7. Find the shortest distance between the lines (x+1)/(7)=(y+1)/(-6)=(...

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  8. Find the co-ordinates of the points where the line through the points ...

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

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  10. Find the cartesian equation of plane vec(r)*(hat(i)+hat(j)-hat(k))=2

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  11. Find the co-ordinates of the foot of the perpendicular drawn from the ...

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  12. Find the equations of the plane that passes through three points : (1,...

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  13. Find the equation of the plane passing through the point ( 1, -1 , 2) ...

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  14. Find the intercepts cut off by the plane 2x+y-z = 5

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

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

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

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

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  19. Find the angle between the planes whose vector equations are vec(r)(...

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  20. Find the vector equation of plane that passes through the point (1,0,-...

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