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If the plane ax+by+cz=1 meets the co-ord...

If the plane ax+by+cz=1 meets the co-ordinate axes at A,B,C, what is the centroid of the triangle ABC?

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The plane ax + by + c = 0 is perpendicular to z-axis.

USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
  1. What are the direction cosines of the line (x-2)/(2)=(y+4)/(3)=(z-1)/6

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

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

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

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

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

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  9. Let hata,hatb,hatc be unit vectors. Suppose that and the angle between...

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  10. Calculate the area of the triangle ABC (by vector method) where A(1,1,...

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  11. If the co-ordinates of the two given point s A and B are (3,-1,7)and (...

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  12. Find the co-ordinates of the foot of the perpendicular from the point ...

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  13. Write the vector equation of a line through the point (1,2,3) and para...

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  14. Show that the line through the point(4,7,8),(2,3,4)is parallel to the ...

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  15. If P (1,y,z) lies on the line through (3,2,-1) and (-4,6,3) find y & z...

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  16. Find the perpendicular distance of the point (-1,3,9) from the line (x...

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  17. Find the direction cosines of the unit vector perpendicular to the pla...

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  18. Find the equation of the plane through the points (1,0,-1),(3,2,-2)and...

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  19. A variable plane passes through a fixed point (a,b,c) and meets the co...

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  20. Find the equation plane passing through the point (2,3,1 )and perpendi...

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