Magnitude and Direction of a Vector#

Given \(\vec{A} =\) -9\(\hat{\imath}\) + 8\(\hat{\jmath}\), \(\vec{B} =\) -6\(\hat{\imath}\) + 8\(\hat{\jmath}\), \(\vec{C} =\) -4\(\hat{\imath}\) + 6\(\hat{\jmath}\) and \(d=\) 4, 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#

  • (\(\sqrt{940}\), \(\theta = \)128.0\(^\circ\))

  • (\(\sqrt{940}\), \(\theta = \)64.0\(^\circ\))

  • (\(\sqrt{470.0}\), \(\theta = \)64.0\(^\circ\))

  • (\(\sqrt{31.0}\), \(\theta = \)128.0\(^\circ\))

  • (\(\sqrt{1410.0}\), \(\theta = \)64.0\(^\circ\))

  • (\(\sqrt{5}\), \(\theta = \)128.0\(^\circ\))

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.