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Find the angle between the two planes 2...

Find the angle between the two planes `2x + y 2z = 5`and `3x 6y 2z = 7`using vector method.

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2 x+y-2 z=5 `Rightarrow 2 x+y-2 z-5=0 `
`3 x-6 y-2 z=7 `
`Rightarrow 3 x-6 y-2 z-7=0`
On Comparing the given equations 2 x+y-2 z-5=0,3 x-6 y-2 z-7=0 with `a_{1} x+b_{1} y+c_{1} z+d_{1}=0 and a x+b_{2} y+c_{2} z+d_{2}=0`
we get,
...
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RD SHARMA-THE PLANE -Solved Examples And Exercises
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  2. Find the angle between the plane: x-y+z=5\ a n d\ x+2y+z=9

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

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  4. Find the angle between the plane: x+y-2z=3\ a n d\ 2x-2y+z=5 .

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  5. Find the angle between the plane: 2x-3y+4z=1\ a n d-x+y=4.

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  6. Show that the following planes are at right angle: vec rdot((2 hat i-...

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  7. Show that the following planes are at right angle: x-2y+4z=10\ a n d\ ...

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  8. Determine the value of lambda for which the following plane are perpen...

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  15. Find the equation of the plane passing through (a ,b ,c) and parallel ...

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  16. Find the equation of the plane passing through the point (-1,3,2) and ...

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  17. Find the vector equation of the plane through the points (2, 1, -1) an...

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  18. Find the vector equation of the following planes in scalar product for...

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  19. Find the vector equation of the plane vec r=(1+s-t) hat i+(2-s) hat ...

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  20. Find the vector equation of the following planes in scalar product for...

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