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Define position vector of point....

Define position vector of point.

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(A) : When the observation point lies along the length of the current element, magnetic field is zero. (R) : According to Biot-Savart's law field is defined only when position vector of a point relative to current element is non zero.

If vec a and vec b are position vectors of points Aa n dB respectively, then find the position vector of points of trisection of A B .

If position vector of points A,B and C are respectively hati,hatj, and hatk and AB=CX , then position vector of point X is

If veca and vecb are position vectors of A and B respectively, then the position vector of a point C in vec(AB) produced such that vec(AC) =2015 vec(AB) is

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If the position vector of the poinot A is a+2b and a point P with position vector vec(a) divides a line segement AB in the ratio 2:3 then the position vector of the point B is

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Define zero vector.

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  2. Define unit vector.

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  3. Define position vector of point.

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  4. Write vec P Q+ vec R P+ vec Q R in the simplified form.

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  5. If vec a\ a n d\ vec b represent two adjacent sides of a parallel th...

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  6. If vec a ,\ vec b ,\ vec c\ represent the sides of a triangle take...

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  7. If vec a ,\ vec b ,\ vec c are position vectors of the vertices A ,...

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  8. If vec a ,\ vec b ,\ vec c are position vectors of the vertices of ...

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  9. If vec a ,\ vec b ,\ vec c are position vectors o the point A ,\ B ...

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  10. If G denotes the centroid of Delta \ A B C ,\ then write the value of...

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  11. If D is the mid point of side BC of a triangle ABC such that vec A B+...

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  12. If D ,\ E ,\ F are the mid points of the side B C ,\ C A and A B respe...

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  13. If vec a\ is a non zero vecrtor iof modulus a and m is a non zero s...

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  14. If vec a ,\ vec b ,\ vec c are the position vectors of the vertices...

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  15. Write a unit vector making equal acute angle with the coordinates axes...

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  16. If a vector makes angle alpha,beta,gamma with OX, OY and OZ respective...

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  17. Write a vector of magnitude 12 units which makes 45^0 angle with X-...

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  18. Write the length (magnitude) of a vector whose project on the coordina...

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  19. Write the position vector of a point dividing the line segment joining...

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  20. Write the direction cosines of the vector vec r=6 hat i-2 hat j+3 hat...

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