Magnitude and Direction of a Vector

Magnitude and Direction of a Vector#

Given \(\vec{A} =\) 10\(\hat{\imath}\) - 5\(\hat{\jmath}\), \(\vec{B} =\) -4\(\hat{\imath}\) + 1\(\hat{\jmath}\), \(\vec{C} =\) -2\(\hat{\imath}\) - 9\(\hat{\jmath}\) and \(d=\) -7, 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#

  • (\(\sqrt{4000}\), \(\theta = \)63.8\(^\circ\))

  • (\(\sqrt{4000}\), \(\theta = \)31.9\(^\circ\))

  • (\(\sqrt{2000.0}\), \(\theta = \)31.9\(^\circ\))

  • (\(\sqrt{63.0}\), \(\theta = \)63.8\(^\circ\))

  • (\(\sqrt{6000.0}\), \(\theta = \)31.9\(^\circ\))

  • (\(\sqrt{85}\), \(\theta = \)63.8\(^\circ\))

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.

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