Magnitude and Direction of a Vector

Given \(\vec{A} =\) -4\(\hat{\imath}\) - 1\(\hat{\jmath}\), \(\vec{B} =\) 10\(\hat{\imath}\) - 3\(\hat{\jmath}\), \(\vec{C} =\) 9\(\hat{\imath}\) - 1\(\hat{\jmath}\) and \(d=\) 10, 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

• (\(\sqrt{5800}\), \(\theta = \)354.0\(^\circ\))

• (\(\sqrt{5800}\), \(\theta = \)177.0\(^\circ\))

• (\(\sqrt{2900.0}\), \(\theta = \)177.0\(^\circ\))

• (\(\sqrt{76.0}\), \(\theta = \)354.0\(^\circ\))

• (\(\sqrt{8700.0}\), \(\theta = \)177.0\(^\circ\))

• (\(\sqrt{68}\), \(\theta = \)354.0\(^\circ\))

Attribution

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