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If the position vectors of two points A ...

If the position vectors of two points A and B are `3hati + hatk` and `2hati+hatj-hatk`, then the vector `vec(BA)` is

A

`- hat(i) + hat(j) - 2hat(k)`

B

`hat(i) + hat(j)`

C

`hat(i) - hat(j) + 2hat(k)`

D

`hat(i) - hat(j) - 2hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT PUBLICATION-VECTOR ALGEBRA -Odisha Bureau.s Textbook Solutions (Exericise 12(a))
  1. Each question given below has four possible answers out of which only ...

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  2. Each question given below has four possible answers out of which only ...

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  3. If the position vectors of two points A and B are 3hati + hatk and 2ha...

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  4. Each question given below has four possible answers out of which only ...

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

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  6. Rectify the mistakes, if any a - a = 0

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

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

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  9. Rectify the mistakes, if any |a| = |b| rArr a = b

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  10. Subtraction of two vectors is not commutative.

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  11. If a = (2, 1), b = (-1, 0), find 3a + 2b.

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  12. If a = (1, 1, 1), b = (-1, 3, 0) and c = (2, 0, 2), find a + 2b - (1)/...

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

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

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

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

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

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

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

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

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