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11-34.
  1. For each vector drawn at right: Homework Help ✎

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

    2. Find each vector's standard angle.

    3. Find and .

    4. Determine .

A = –1i + 3j

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 x-axis.

A + B = 〈 –1, 3〉 + 〈 4, 3〉 = ?

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