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A vector ` vec r` is inclined at equal to `O X ,O Ya n dO Zdot` If the magnitude of ` vec r` is 6 units, find ` vec rdot`

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Show that the line segments joining the mid-points of opposite side...

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  2. Prove that the line segment joining the mid points of two side of a...

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  3. A vector vec r is inclined at equal to O X ,O Ya n dO Zdot If the mag...

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  4. A vector vec r has length 21 and its direction ratios are proport...

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  5. If vec a and vec b are non-collinear vectors and vectors vecalpha=(x...

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  6. A B C D is a parallelogram. E ,F are mid-points of B C ,C D respective...

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  7. If a\ a n d\ b ar non collinear vector such that x1 vec a+y1 vec b=x2 ...

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  8. Show that the vectors a, b, c given by vec a= hat i+2 hat j+3 hat k ,...

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  9. A vector vec O P is inclined to O X at 50^0 and O Y at 60^0 . Find th...

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  10. If a vector makes angles alpha,beta,gamma. with . OX ,O Ya n dO Z ...

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  11. A B C D is a parallelogram. If L and M are the mid-points of B C and D...

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  12. Find a unit vector in the direction of the resultant of the vectors...

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  13. Find the position vector of the mid-point of the vector joining the...

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  14. Show that the line joining one vertex of a parallelogram to the mid...

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  15. Let vec a , vec b, vec c be three non-zero vectors such that any two ...

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  16. If vec a , vec b are the position vectors of the points (1,-1),(-2,m...

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  17. Find the position vector of a point A in space such that vec O A is i...

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  18. 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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  19. Prove that the lines joining the vertices of a tetrahedron to the ce...

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  20. Find a vector vec r of magnitude 3sqrt(2)u n i t s which makes an an...

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