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A vector coplanar with vector i+j and j+...

A vector coplanar with vector i+j and j+k and parallel to the vector 2i-2j-4k is

A

i-j

B

i-j-2k

C

i+j-k

D

3i+3j-6k

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The correct Answer is:
B
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HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
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  2. If vec a, vec b, vec c are linearly independent vectors and Delta = |(...

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  3. If pi(1) and pi(2) be two planes determined by the pairs of vectors ve...

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  4. If vec a xx vec b = vec c and vec b xx vec c = vec a then

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  5. For any vector vec r, (vec r . i)^(2) + (vec r .j)^(2) + (vec r . k )^...

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  6. If |vec a - vec b| = |vec a| = |vec b| =1 then the angle between vec a...

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  7. If |vec a| = 3, |vec b| = 5, and |vec c| = 4 and vec a + vec b + vec c...

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  8. Let vec a, vec b and vec c be three vectors. Then scalar triple produc...

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  9. If vec u, vec nu, vec w are three non-coplanar vectors, then (vec u + ...

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  10. A unit vector perpendicular to the plane of vec a = 2i-6j-3k and vec b...

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  11. A vector coplanar with vector i+j and j+k and parallel to the vector 2...

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  12. Let vec a = 2i+j-2k and vec b = i+j. If vec c is a vector such that ...

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  13. The volume of the tetracedron formed by the points (1,1,1) (2,1,3),(3,...

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  14. If |vec a| = 4, |vec b| = 2, |vec c| = 6 and each of the angles betwee...

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  15. The area of the parallelogram with vec a and vec b as adjacent sides i...

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  16. If the triangle with vertices 2i+j, 2j+k, mk+i, has centroid at i+j+k,...

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  17. Let vec a = i-2j+3k, vec b = 3i+3j-k and vec c = di + j + (2d-1)k. If ...

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  18. If [vec a, vec b, vec c] = 3 then the volume (in cubic units) of the p...

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  19. If D, E, F are respectivley the mid points of AB, AC and BC respective...

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  20. If (vec a xx vec b) xx vec c = vec a xx (vec b xx vec c), where vec a,...

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