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For each vector drawn at right:

  1. Rewrite the vector in both component and i, j form.

    A = –1i + 3j

  2. Find each vector's standard angle.

    Solve tan(θ) = 3/1. This will solve for the angle in the slope triangle for A.
    Recall that the standard angle is measured from the positive -axis.

  3. Find and .

  4. Determine .

    The double bars mean "the magnitude of". To calculate the magnitude of vector B, use the Pythagorean Theorem.