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The answer below assumes you are required to find the components of the vector.

A vector with unity magnitude means that the magnitude of the vector equals to 1. Therefore its a simple case of calculating the values of sin(45) for the vertical components and cos(45) for the horizontal components.

Both of these values equal to 1/sqrt(2) {one over square-root two}

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Q: If vector has unity magnitude and makes an angle of 45.0 with the positive axis?
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