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Find the distance of the point (21,0) fr...

Find the distance of the point `(21,0)` from the plane `2x+y+2z+5=0.`

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We know that the distance of the point `(x_1,x_2,x_3)`from the plane
`ax+by+cz+d=0` is given by
`(abs(ax_1+by_1+cz_1+d))/sqrt(a^2+b^2+c^2)`
So, required distance ,
`=abs(2xx2+1+2xx0+5)/sqrt(2^2+1^2+2^2)`
`=10/3`
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RD SHARMA-THE PLANE -Solved Examples And Exercises
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  2. Find the distance of the point (21,0) from the plane 2x+y+2z+5=0.

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  3. Show that the points hat i- hat j+3 hat ka n d3( hat i+ hat j+ hat k)...

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

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  17. Find the Cartesian form the equation of the plane vec r=(s+t) hat i+...

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  19. The plane x-2y+3z=0 is rotated through a right angle about the line of...

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  20. The plane l x+m y=0 is rotated through an angle alpha about its line...

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