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The vector 1/3 (2i-2j+k) is...

The vector 1/3 (2i-2j+k) is

A

unit vector

B

parallel to vector -i+j-1/2k

C

perpendicular to the vector 3i+2j-2k

D

All of the above

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The correct Answer is:
D
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HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
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  2. Let vec a = 2i-j+k, vec b = i+2j-k and vec c = i+j-2k be three vector...

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  3. The vector 1/3 (2i-2j+k) is

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  4. If vec a, vec b and vec c are non coplanar unit vectors such that vec ...

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  5. Let alpha, beta, gamma are distinct real numbers. The points with posi...

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  6. A non-zero vector vec a is parallel to the line of intersection of the...

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  7. The number of distinct real values of lambda for which the vectors -la...

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  8. Let vec a, vec b, vec c be unit vectors such that vec a + vec b + vec ...

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  9. Let vec a = i+2j+k, vec b = i-j+k, vec c = i+j-k. A vector coplanar to...

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  10. Let vec u, vec nu and vec w vectors that vec u + vec nu + vec w = vec ...

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  11. The values of 'a' for which the points A, B, C with position vectors 2...

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  12. If the vector veca = hati + ahatj + a^(2) hatk , vecb = hati + b hatj ...

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  13. If vec a, vec b, vec c are non-coplanar vectors and lambda is a real n...

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  14. Let vec a = i +j + k, vec b = i-j+2k, vec c = x i+(x-2)j-k. If the vec...

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  15. The non-zero vectors vec b and vec c are related by vec a = 8 vec b an...

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  16. The vectors vec a = alpha i +2j+betak lies in the plane of the vectors...

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  17. If vec u , vec nu, and vec w are non coplanar vectors and p,q are real...

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  18. If vec a = j-k and vec c = i-j-k. Then the vector vec b satisfying vec...

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  19. If the vectors vec a = i-j+2k, vec b = 2i+4j+k and vec c = lambda i + ...

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  20. If vec a and vec b are not perpendicular to each other and vec r xx ve...

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