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Three vectors veca,vecb,vecc are such th...

Three vectors `veca,vecb,vecc` are such that `vecaxxvecb= 3(vecaxxvecc)`Also`|veca|=|vecb|=1, |vecc|=1/3` If the angle between `vecb` and `vecc` is `60^@` then

A

`b=3c+a`

B

`b=3c-a`

C

`a=6c+2b`

D

`a=6c-2b`

Text Solution

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The correct Answer is:
A, B
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (More Than One Correct Option Type Questions)
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  4. Let a, b and c be non-zero vectors and |a|=1 and r is a non-zero vecto...

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  5. If veca and vecb are two unit vectors perpendicular to each other and...

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  6. Given three non-coplanar vectors OA=a, OB=b, OC=c. Let S be the centre...

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  7. If a=hat(i)+hat(j)+hat(k) and b=hat(i)-hat(j), then(a*hat(i))hat(i)+(a...

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  8. If vec a=x hat i+y hat j+z hat k , vec b=y hat i+z hat j+x hat k. The ...

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  9. Which of the following statement(s) is/are true?

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

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  11. If a,b and c are three non-zero vectors, then which of the following s...

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  12. Let veca and vecb be two non- zero perpendicular vectors. A vector vec...

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  13. If a and b are any two unit vectors, then the possible integers in the...

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  14. If a is perpendicular to b and p is non-zero scalar such that pr+(r*b)...

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  15. In a four-dimensional space where unit vectors along the axes are h...

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  16. A vector(d) is equally inclined to three vectors a=hat(i)-hat(j)+hat(k...

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  17. Find the nth term of AP whose first term is 12 and common difference i...

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  18. Given three vectors a,b and c are non-zero and non-coplanar vectors. T...

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  19. Find the nth term of GP if the first term is 7 and common ratio is 3.

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  20. If vectors veca and vecb are two adjecent sides of a paralleogram, the...

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