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Vector vec c is perpendicular to vector...

Vector ` vec c` is perpendicular to vectors ` vec a=(2,-3,1)a n d vec b=(1,-2,3)` and satisfies the condition ` vec c dot ( hat i+2 hat j-7 hat k)=10.` Then vector ` vec c` is equal to `(7,5,1)` b. `-7,-5,-1` c. `1,1,-1` d. none of these

A

`(7, 5, 1)`

B

`(-7,, -5, -1)`

C

`(1, 1, -1)`

D

None of these

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The correct Answer is:
B
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
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  2. Given the vectors vec u=2 hat i-hat j-hat k and vec v=hat i-hat j+2ha...

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  3. Vector vec c is perpendicular to vectors vec a=(2,-3,1)a n d vec b...

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  4. Let vec a= hat j+hat j,vec b=hat j+hat k and vec c=alpha vec a+beta v...

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  6. A rigid body rotates with constant angular velocity omega about the li...

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  7. Consider DeltaABC with A=(veca);B=(vecb) and C=(vecc). If vecb.(veca+v...

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  8. Given unit vectors m, n and p such that angle between m and n. Angle b...

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  9. If veca and vecb are two unit vectors, then the vector (veca+vecb)xx(v...

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  10. If veca and vecb are othogonal unit vectors, then for a vector vecr no...

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  11. If vector vec i+ 2vec j + 2vec k is rotated through an angle of 90^@...

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  12. 10 different vectors are lying on a plane out of which four are parall...

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  13. If hat(a) is a unit vector and projection of x along hat(a) is 2 units...

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  14. If veca, vecb and vecc are any three non-zero vectors, then the compon...

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  15. The position vector of a point P is r=xhat(i)+yhat(j)+hat(k)z, where x...

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  16. Let a,bgt0 and alpha=(hati)/(a)+(4hatj)/(b)+bhatk and beta=bhati+ahatj...

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  17. If veca, vecb and vecc are any three vectors forming a linearly indepe...

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

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  19. If in a triangleABC, BC=(e)/(|e|)-(f)/(|f|) and AC=(2e)/(|e|): |e|ne|f...

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  20. Unit vectors veca and vecb ar perpendicular , and unit vector vecc is ...

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