Magnitude and Direction of a Vector

Given \(\vec{A} =\) 1\(\hat{\imath}\) - 5\(\hat{\jmath}\), \(\vec{B} =\) -3\(\hat{\imath}\) + 5\(\hat{\jmath}\), \(\vec{C} =\) -8\(\hat{\imath}\) - 5\(\hat{\jmath}\) and \(d=\) -8, find the magnitude and direction of \(\vec{A}-\vec{B}+d\vec{C}\).

Part 1

Expressing this vector in the form \((r,\theta)\) where \(\theta\) is measured relative to the positive \(x\)-axis, the closest to your result is:

Answer Section

• (\(\sqrt{5500}\), \(\theta = \)23.8\(^\circ\))

• (\(\sqrt{5500}\), \(\theta = \)11.9\(^\circ\))

• (\(\sqrt{2750.0}\), \(\theta = \)11.9\(^\circ\))

• (\(\sqrt{74.0}\), \(\theta = \)23.8\(^\circ\))

• (\(\sqrt{8250.0}\), \(\theta = \)11.9\(^\circ\))

• (\(\sqrt{98}\), \(\theta = \)23.8\(^\circ\))

Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.