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Find the angle between the planes whose ...

Find the angle between the planes whose vector equations are
`barr *(2hati + 2hatj - 3hatk) = 5 and barr *(hati -2hatj+hatk) =7`.

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`cos^(-1)((11)/(sqrt(288)))`
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Find the angle between the planes whose vector equations are vec(r). (2 hati + 2 hatj - 3 hatk) = 5 and vec(r). (3 hati - 3 hatj + 5 hatk) = 3 .

Find the angle between the planes whose vector equations are vecr.(2hati+2hatj-3hatk)=5 and vecr.(3hati-3hatj+5hatk)=3 .

Find the acute angle between the planes barr*(2hati + hatj - hatk) = 3 and barr*(hati + 2hatj + hatk) =1 .

Find the angle between the line barr = (hati + 2hatj + hatk) + lambda(hati +hatj + hatk) and the plane barr*(2hati - hatj + hatk) = 5 .

The angle between the planes barr*(hati - 2hatj + 3hatk) + 4 = 0 and barr *(2hati + hatj - 3hatk) = 0 is

Find the shortest distance between the two lines whose vector equations are given by: vecr=hati+2hatj+3hatk+lamda(2hati+3hatj+4hatk) and vecr=2hati+4hatj+5hatk+mu(3hati+4hatj+5hatk)

The angle between planes barr.(2hati+hatj-hatk)=3andbarr.(hati+2hatj+hatk)=1 is

Find the vector equation of the plane passing through the intersection of the planes barr*(2hati + 2hatj -3hatk) = 8, barr*(2hati + 4hatj + 3hatk) = 7 and through the point (2, 1, 3).

Find the angle between the planes vecr.(3hati-4hatj+5hatk)=0 and vecr.(2hati-hatj-2hatk)=7 .

Find the distance of the point 2hati + hatj + hatk) from the plane barr *(hati + 2hatj +4hatk) = 13 .

NAVNEET PUBLICATION - MAHARASHTRA BOARD-PLANE -Example for Practice
  1. Find the vector equation of the plane passing through the point A(1, 0...

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  2. Find the vector equation of the plane passing through the point hati +...

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  3. Line barr = (hati - hatj + hatk) + lambda(2hati- hatj + hatk) containe...

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  4. Find the equations of the planes parallel to the plane x - 2y + 2z -4 ...

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  5. If from a point P(a ,b ,c) perpendiculars P Aa n dP B are drawn to Y Z...

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  6. Find the cartesian form of the equation of the plane. barr = (hati ...

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

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  8. Find the equation of the plane passing through the intersection of the...

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  9. Prove that the lines (x-2)/1=(y-4)/4=(z-6)/7 and (x+1)/3=(y+3)/5=(z+5)...

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

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  11. Find the angle between the planes whose vector equations are barr ...

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  12. If the line barr = (hati - 2hatj + 3hatk) + lambda(2hati + hatj + 2hat...

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  13. The planes barr *(3hati - 2hatj + phatk) =1 and barr *(-2hati + phatj ...

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  14. Find the value of p, if the planes barr *(phati - hatj + 2hatk) + 3 = ...

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  15. Find the angle between the line barr = (hati + 2hatj + hatk) + lambda(...

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  16. Find the angle between the line (x+1)/2=y/3=(z-3)/6and the plane 10 ...

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  17. Find the distance of the point 2hati + hatj + hatk) from the plane bar...

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  18. Find the distance of the point (1, 2-1) from the plane x -2y + 4z - 10...

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  19. Show that the points (1, 1, 1) and (-3, 0, 1) are equidistant from the...

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  20. Show that the points (1,-1,3) and (3, 4, 3) are equidistant from the p...

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