RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
- Find the position vector of the mid-point of the vector joining the...
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- Show that the line joining one vertex of a parallelogram to the mid...
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- Let vec a , vec b, vec c be three non-zero vectors such that any two ...
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- If vec a , vec b are the position vectors of the points (1,-1),(-2,m...
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- Find the position vector of a point A in space such that vec O A is i...
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- Show that the points A(6,-7,0),B(16 ,-19 ,-4),C(0,3,-6)a n d D(2,-5,1...
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- Prove that the lines joining the vertices of a tetrahedron to the ce...
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- Find a vector vec r of magnitude 3sqrt(2)u n i t s which makes an an...
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- Let vec a= hat i+2 hat ja n d vec b=2 hat i+ hat jdoti s |vec a|=| ve...
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- Three vectors of magnitude a ,2a ,3a meet in a point and their directi...
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- Show that the vectors vec a-2 vec b+3 vec c , vec a-3 vec b+5 vec ca ...
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- 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 points...
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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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