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The direction cosines of the vectors vec...

The direction cosines of the vectors `vec(PQ)` where `vec(PQ)` = (1, 0, -2) and `vec(OQ)` = (3, -2, 0) are

A

2, -2, 2

B

4, -2, -2

C

`1/sqrt3`, `-1/sqrt3`, `1/sqrt3`

D

`2/sqrt6`, -1/sqrt6, `-1/sqrt6`

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The correct Answer is:
C
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MBD PUBLICATION-VECTORS-QUESTION BANK
  1. If the position vectors of two points A and B are 3hati + hatk and 2ha...

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  2. If |kveca| = 1, then

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  3. The direction cosines of the vectors vec(PQ) where vec(PQ) = (1, 0, -2...

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  4. Reactify the mistakes if any veca-veca = 0

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  5. Reactify the mistakes if any. The vector vec0 has unique direction.

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  6. Reactify the mistakes if any. All unit vectors are equal.

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  7. |veca| = |vecb| = veca = vecb.

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  8. Subtraction of two vectors is not commutative.

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  9. If veca = (2,1), vecb = (-1,0), find 3veca + 2vecb.

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  10. If veca = (1,1,1), vecb = (-1,3,0) and vecc = (2,0,2), find veca+2vec...

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  11. If A, B, C and D are the vertices of a square, find vec(AB) + vec(BC)+...

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  12. The given points A, B, C are the vertices of a triangle. Determine the...

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  13. The given points A, B, C are the vertices of a triangle. Determine the...

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  14. Find the vector from origin to the mid-point of the vector vec(P1P2) j...

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  15. Find the vectors from the origin to the points of trisection the vecto...

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  16. Find the vectors from the origin to the intersection of the medians of...

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  17. Prove that the sum of all the vectors drawn from the centre of a regul...

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  18. Prove that the sum of the vectors represented by the sides of a closed...

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  19. Prove that : |veca + vecb|le|veca|+|vecb|.

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  20. State when the equality will hold, |veca - vecb|ge|veca|-|vecb|

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