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USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
- 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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- Write the vector equation of a line through the point (1,2,3) and para...
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- Show that the line through the point(4,7,8),(2,3,4)is parallel to the ...
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- If P (1,y,z) lies on the line through (3,2,-1) and (-4,6,3) find y & z...
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- Find the perpendicular distance of the point (-1,3,9) from the line (x...
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- Find the direction cosines of the unit vector perpendicular to the pla...
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- Find the equation of the plane through the points (1,0,-1),(3,2,-2)and...
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- A variable plane passes through a fixed point (a,b,c) and meets the co...
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