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RD SHARMA-ALGEBRA OF VECTORS-Solved Examples And Exercises
- Find the angles at which the vector 2 hat i- hat j+2 hat k is inclined...
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- Prove that four points 2 vec a+3 vec b- vec c , vec a-2 vec b+3 vec...
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- Find the direction cosines of the vector joining the points A(1,2,-...
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- If vec aa n d vec b are two non-collinear vectors, show that point...
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- If the position vector vec a of a point (12 ,n) is such that | vec a|...
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- If A=(0,1)B=(1,0),C=(1,2),D=(2,1) , prove that vec A B= vec C Ddot
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- Show that the points with position vectors vec a-2 vec b+3 vec c ,-2 ...
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- Find the position vector of a point R which divides the line joining ...
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- If D is the mid-point of the side B C of a triangle A B C , prove that...
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- Show that the found points A ,B ,C ,D with position vectors vec a , v...
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- Let vec a , vec b , vec c be the position vectors of three distinct p...
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- If vec aa n d vec b are position vectors of points Aa n dB respective...
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- If vec aa n d vec b are position vectors of Aa n dB respectively, fin...
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- If vec c = 3vec a+4vec b and 2vec c =vec a -3vec b, show that (i) vec ...
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- Find the position vectors of the points which divide the join of th...
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- Let O be the centre of a regular hexagon A B C D E F . Find the sum of...
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- For any two vectors vec aa n d vec b , prove that | vec a+ vec b|lt=|...
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- IF P1, P2, P3, P4 are points in a plane or space and O is the origin o...
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- Using vectors, find the value of lambda such that the points (lambda,...
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- If vec a , vec b are any two vectors, then give the geometrical in...
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