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

Let P, Q, R and S be the points on the plane with position vectors `-2hat(i)-hat(j), 4hat(i), 3hat(i)+3hat(j) and -3hat(i)+2hat(j)`, 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-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 k and vec c =hat ...

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  2. Two adjacent sides of a parallelogram ABCD are given by vec(AB)=2hati+...

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

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  4. If a and b are vectors in space given by a=(hat(i)-2hat(j))/(sqrt(5)) ...

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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. Lelt two non collinear unit vectors hata and hatb form and acute angle...

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

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

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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 A be vector parallel to line of intersection of planes P1 and P2. ...

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  12. Let a=hat(i)+2hat(j)+hat(k), b=hat(i)-hat(j)+hat(k), c=hat(i)+hat(j)-h...

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  13. If vec a , vec b and vec c are three non-zero, non coplanar vecto...

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

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

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

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  17. 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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  18. If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4...

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

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

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