Magnitude and Direction of a Vector#

Given \(\vec{A} =\) \(\hat{\imath}\) \(\hat{\jmath}\), \(\vec{B} =\) \(\hat{\imath}\) \(\hat{\jmath}\), \(\vec{C} =\) \(\hat{\imath}\) \(\hat{\jmath}\) 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#

  • (\(\sqrt{1700}\), \(\theta = \)253.0\(^\circ\))

  • (\(\sqrt{1700}\), \(\theta = \)126.5\(^\circ\))

  • (\(\sqrt{850.0}\), \(\theta = \)126.5\(^\circ\))

  • (\(\sqrt{41.0}\), \(\theta = \)253.0\(^\circ\))

  • (\(\sqrt{2550.0}\), \(\theta = \)126.5\(^\circ\))

  • (\(\sqrt{52}\), \(\theta = \)253.0\(^\circ\))


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.