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Let P,Q R and S be the points on the pla...

Let P,Q R and S be the points on the plane with position vectors `-2hati -hatj, 4hati, 3hati+ 3hatj ` and `-3hati + 2hatj`, respectively. The quadrilateral PQRS must be:

A

parallelogram, which is neither a rhombus nor a rectangle

B

square

C

rectangle, but not a square

D

rhombus, but not a square

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The correct Answer is:
(a)
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ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...

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  2. Two adjacent sides of a parallelogram A B C D are given by vec A B=...

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  3. Let P,Q R and S be the points on the plane with position vectors -2hat...

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  4. If aa n db are vectors in space given by vec a=( hat i-2 hat j)/(sq...

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  5. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...

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  6. The edges of a parallelopiped are of unit length and are parallel to ...

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  7. Let two non-collinear unit vectors veca and vecb form an acute angle. ...

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  8. Let the vectors PQ,OR,RS,ST,TU and UP represent the sides of a regular...

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  9. The number of distinct real values of lambda , for which the vectors...

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  10. Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0. Whic...

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  11. Let vec A be a vector parallel to the line of intersection of plan...

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  12. Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec...

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  13. The unit vector which is orthogonal to the vector 3hati+2hatj+6hatk an...

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  14. The value of a so that the volume of parallelepiped formed by hat i...

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  15. If vec a=( hat i+ hat j+ hat k), vec a. vec b=1a n d vec axx vec b= h...

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  16. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

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  17. If veca and vecb are two unit vectors such that veca + 2vecb and 5 vec...

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  18. Let a= 2hat(i) -2hat(k) , b=hat(i) +hat(j) and c be a vectors suc...

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  19. If [axxb bxxc c xxa]=lambda[abc]^(2), then lambda is equal to

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  20. Let hata and hatb be two unit vectors. If the vectors vecc=hata+2hatb ...

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