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Let the vectors PQ,OR,RS,ST,TU and UP re...

Let the vectors PQ,OR,RS,ST,TU and UP represent the sides of a regular hexagon.
Statement I: `PQxx(RS+ST)ne0`
Statement II: `PQxxRS=0 and PQxxSTne0`

A

Both Statement-I and Statement-II are correct and Statement-II is the correct explanation of Statement-I

B

Both Statement-I and Statement-II are correct but Statement-II is not the correct explanation of Statement-I

C

Statement-I is correct but Statement-II is incorrect

D

Statement-II is correct but Statement-I is incorrect

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The edges of a parallelopiped are of unit length and are parallel to ...

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

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

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

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  5. If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0, find...

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

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  7. 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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  8. Find the 7th term of GP if the first term is 7 and common ratio is 2.

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  9. The unit vector which is orthogonal to the vector 3hati + 2hatj + 6hat...

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

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  11. 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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  12. Let v=2hat(i)+hat(j)-hat(k) and w=hat(i)+3hat(k). If hat(u) is unit v...

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

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  14. Let a= 2hat(i) +hat(j) -2hat(k) , b=hat(i) +hat(j) and c be a vecto...

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

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  16. If a and b1 are two unit vectors such that a+2b and 5a-4b are perpendi...

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  17. Let ABCD be a parallelogram such that vec A B= vec q , vec A D= vec p...

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  18. veca =1/sqrt(10)(3hati + hatk) and vecb =1/7(2hati +3hatj-6hatk), then...

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  19. The vectors vec a and vec b are not perpendicular and vec c and v...

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  20. If the vectors ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), hat(i)+ha...

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