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Vectors in a Triangle: Show that

AB=(2,3,6) and AC=9.
a.AB=(2,3,6),
AC=(4,5,7)
b.AB=(2,3,6),
AC=(6,7,10)
c.AB=(2,3,6),
AC=(7,8,11)
d.AB=(2,3,6),
AC=(9,10,13)

User Bastiaan
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1 Answer

6 votes

Final answer:

The order of addition of three vectors does not affect their sum.

Step-by-step explanation:

When adding vectors, their order of addition does not affect their sum. To demonstrate this property, let's choose three vectors A, B, and C with different lengths and directions.

  1. Find the sum A + B + C.
  2. Add the vectors in a different order, for example, B + C + A.
  3. Compare the results of the two sums. If the vectors were added correctly, the result should be the same.

This property holds true for any three vectors, as long as they are added accurately.

User Tom Harvey
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