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USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
- Show that the ax+by+d =0 is perpendicular to xy-plane.
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- What are the direction cosines of the normal to the plane X+y+1=0?
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- Write the equation of the plane passing through (3,-6,-9) and parallel...
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- Write the equation of the plane passes through y-axis and z-axis.
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- What is the distance of the point (1,1,1)from the plane y=x?
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- Find the direction cosines of the line segment joining (3,6,1) and (4,...
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- What is the number of line which are equally inclined to the axes?
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- If the equation of x-axis is x/a=(y-d)/(b)=z/c, what is the value of a...
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- What are the direction cosines of the line (x-2)/(2)=(y+4)/(3)=(z-1)/6
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- Write the symmetrical from of the line X=5, y=4.
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- If the plane ax+by+cz=1 meets the co-ordinate axes at A,B,C, what is t...
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- 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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- Show by vector method that the point P(3,-2, 4),Q(1,1 1)and R(-1,4,-2)...
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- 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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- If vec(a) makes equal angles with hat(i), hat(j) and hat(k) has magnit...
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- If abs(veca)=3,abs( vecb)=1,abs(vecc)=4 and veca+vecb+vecc=0,find the ...
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- Let hata,hatb,hatc be unit vectors. Suppose that and the angle between...
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- Calculate the area of the triangle ABC (by vector method) where A(1,1,...
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- If the co-ordinates of the two given point s A and B are (3,-1,7)and (...
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- Find the co-ordinates of the foot of the perpendicular from the point ...
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