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If vec a , vec b are any two vectors, t...

If ` vec a , vec b` are any two vectors, then give the geometrical interpretation of relation `| vec a+ vec b|=| vec a- vec b|`

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. IF P1, P2, P3, P4 are points in a plane or space and O is the origin o...

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  2. Using vectors, find the value of lambda such that the points (lambda,...

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  3. If vec a , vec b are any two vectors, then give the geometrical int...

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  4. If vec P O+ vec O Q= vec Q O+ vec O R , show that the point, P ,Q ,R ...

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  5. If the sum of two unit vectors is a unit vector, prove that the mag...

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  6. If vec aa n d vec b are the vectors determined by two adjacent sides ...

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  7. Vectors drawn the origin O to the points A , Ba n d C are respectively...

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  8. If vec aa n d vec b represent two adjacent sides vec A Ba n d vec B ...

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  9. A , B , P, Q and R are five points in a plane. Show that the su...

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  10. Let vec a , vec b , vec c , vec d be the position vectors of the four...

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  11. Find a vector of magnitude 11 in the direction opposite to that of ve...

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  12. Find the unit vector in the direction of 3 hat i-6 hat j+2 hat k .

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  13. If vec a is a position vector whose tip is (1,-3)dot Find the coordin...

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  14. Find the coordinates of the tip of the position vector which is equ...

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  15. Write all the unit vectors in X Y-p l a n edot

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  16. Find a unit vector parallel to the vector 3 hat i+4 hat jdot

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  17. If A ,B ,C have position vectors (2,0,0),(0,1,0),(0,0,2), show that ...

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  18. If the points (-1,1,2),(2,m ,5)a n d(3,11 ,6) are collinear, find the ...

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  19. If vec a=3 hat i-2 hat j+ka n d vec b=2 hat i-4 hat j-3k , find | vec...

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  20. If the position vectors of the points A , B , C ,Da r e2 hat i+4 hat k...

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