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If a = (1, 1, 1), b = (-1, 3, 0) and c =...

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

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The correct Answer is:
`-2hat(i) + 7hat(j)`
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ARIHANT PUBLICATION-VECTOR ALGEBRA -Odisha Bureau.s Textbook Solutions (Exericise 12(a))
  1. Subtraction of two vectors is not commutative.

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

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

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

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

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

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

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

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

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

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

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  12. Prove that |a+b| le |a| + |b| State when equality will hold,

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  13. Prove that |a-b| ge |a| - |b|

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  14. What is geometrical significance of the relation |veca+vecb| = |veca-v...

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  15. Find the magnitude of the vector vec(PQ), its scalar components and th...

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  16. Find the magnitude of the vector vec(PQ), its scalar components and th...

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  17. Find the magnitude of the vector vec(PQ), its scalar components and th...

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  18. In each of the following find the vector vec(PQ), its magnitude and di...

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  19. In each of the following find the vector vec(PQ), its magnitude and di...

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  20. If a = (2, -2, 1), b = (2, 3, 6) and c = (-1, 0, 2) find the magnitude...

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