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Write the equation of the plane x+3y-7z+...

Write the equation of the plane `x+3y-7z+2=0` in the intercept from.

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Write the equation of the plane 3x-4y+6z-12=0 in intercept from and hence obtain the co-ordinates of the point where it meets the co-ordinate axes.

Write the equation of the plane 3x-4y+z+5=0 in normal form.

Write the equation of the plane 2x-3y+5z+1=0 in normal from and find its distance from the origin. Find also the distance between from the point (3,1,2).

Write the equation of the plane with intercepts on axes 1, -1, 3. .

USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
  1. State true or False .The planes 2x +4y -z + 1 = 0 and x - 2y - 6z + 3 ...

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  2. Write the equation of the plane 3x-4y+z+5=0 in normal form.

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  3. Write the equation of the plane x+3y-7z+2=0 in the intercept from.

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

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  5. Show that the ax+by+d =0 is perpendicular to xy-plane.

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  6. What are the direction cosines of the normal to the plane X+y+1=0?

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  7. Write the equation of the plane passing through (3,-6,-9) and parallel...

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  8. Write the equation of the plane passes through y-axis and z-axis.

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  9. What is the distance of the point (1,1,1)from the plane y=x?

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  10. Find the direction cosines of the line segment joining (3,6,1) and (4,...

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  11. What is the number of line which are equally inclined to the axes?

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  12. If the equation of x-axis is x/a=(y-d)/(b)=z/c, what is the value of a...

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  13. What are the direction cosines of the line (x-2)/(2)=(y+4)/(3)=(z-1)/6

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  14. Write the symmetrical from of the line X=5, y=4.

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  15. If the plane ax+by+cz=1 meets the co-ordinate axes at A,B,C, what is t...

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  16. If the points P(2,-1,1),Q(1,-3 c)and R(3,-4,-4) are the vertices of a ...

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  17. Show by vector method that the point P(3,-2, 4),Q(1,1 1)and R(-1,4,-2)...

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  18. If the vertices A,B,C of a triangle ABC are A(1,1,8),B(4,-3,-4)and C(-...

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  19. If vec(a) makes equal angles with hat(i), hat(j) and hat(k) has magnit...

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  20. If abs(veca)=3,abs( vecb)=1,abs(vecc)=4 and veca+vecb+vecc=0,find the ...

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