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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 `- 2 hati - hatj, 4 hati , 3 hati + 3 hatj and - 3 hati + 2 hatj` respectively. The quadrilateral PQRS must be a:

A

parallelogram, which is neither a rhombus nor a rectangle

B

square

C

reactangle, but not a square

D

rhombus, but not a square

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The correct Answer is:
A
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MODERN PUBLICATION-VECTOR ALGEBRA -LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS
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  2. If the vectors veca = hati - hatj + 2 hatk, vecb = 2 hati + 4 hatj + h...

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

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  4. Two adjacent sides of a parallelogram ABCD are given by : vec(AB) = ...

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  5. If veca = (1)/(sqrt10) (3 hati + hatk) and vecb =1/7 (2 hati + 3 hatj ...

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  6. The vectors veca and vecb are not perpendicular and vecc and vecd are ...

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  7. Let veca = hati + hatj + hatk, vecb = hati - ahtj + hatk and hati - ha...

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  8. If the vectors p hati + hatj+ hatk, hati i+ q hatj + hatk and hati + h...

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  9. Let veca, vecb, vecc be three non-zero vectors, which are pair-wise no...

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  10. Let veca and vecb be two unit vectors. If the vecctors vecc = hata + 2...

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  11. Let ABCD be a parallelogram such that vec(AB)=vecq,vec(AD)= vecp and a...

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  12. If veca and vecb are vectors such that |veca + vecb|= sqrt29and veca x...

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  13. If the vectors vec(AB) = 3 hati + 4 hatk and A vecC = 5 hati - 2 hatj ...

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  14. Let PvecR = 3 hati + hatj - 2 hatk and S vecQ = hati - 3 hatj - 4 hatk...

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  15. If [vecaxx vecb vecb xx vecc vecc xx veca] = lamda [veca vecb vecc]^(2...

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  16. Let veca, vecb, and vecc be three non-zero vectors such that no two of...

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