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16 December, 08:27

Write an expression for the vector difference a⃗ - b⃗ using unit vectors.

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  1. 16 December, 11:25
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    A vector A with components a, b, c can be written as (a, b, c) or in terms of unit vectors as ai + bj + ck. The letters i, j, k are the standard symbols for the unit vectors in the x, y and z directions.

    So if A = (3, 4, 5), you can also write A = 3i + 4j + 5k

    If B = (1, 1, 1), you can write B = i + j + k

    And then A - B is the vector whose components are the differences in each component: A - B = (3 - 1) i + (4 - 1) j + (5 - 1) k = 2i + 3j + 4k

    So you need to know what the components of A and B are to answer this.
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