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A B C D are four points in a plane an...

`A B C D` are four points in a plane and `Q` is the point of intersection of the lines joining the mid-points of `A B` and `C D ; B C` and `A Ddot` Show that ` vec P A+ vec P B+ vec P C+ vec P D=4 vec P Q ,` where `P` is any point.

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. A B C D is parallelogram and P is the point of intersection of its dia...

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  2. Show that the line segments joining the mid-points of opposite side...

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  3. A B C D are four points in a plane and Q is the point of interse...

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  4. Evaluate int\ x^7+sin2x\dx

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  5. Find the values of x and y so that the vectors 2 hat i+3 hat jand x h...

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  6. ABCD is a parallelogram. If the coordinates of A ,\ B ,\ C\ a r e\ (2,...

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  7. Find the vector of magnitude 5 units which is parallel to the vector 2...

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  8. Find the components along the coordinates axes of the position vector ...

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  9. Find the components along the coordinates axes of the position vector ...

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  10. Find the components along the coordinates axes of the position vector ...

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  11. Find the components along the coordinates axes of the position vector ...

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  12. Find the scalar and vector components of the vector with initial point...

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  13. Write down a unit vector in XY-plane, making an angle of 30° with t...

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  14. A girl walks 4 km towards west, then she walks 3 km in a direction 30...

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  15. If the position vector of a point (-4,\ -3)b e\ vec a ,\ find\ | vec ...

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  16. If the position vector vec a of a point (12 ,n) is such that | vec a|...

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  17. Find a vector of magnitude 4 units which is parallel to the vector ...

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  18. Express vec A B in terms of unit vectors hat i and hat j , wh...

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

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  20. A B C D is parallelogram. If the coordinates of A , B , C are (-2,-...

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