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 \(d=\) 3, 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#

  • (\(\sqrt{1400}\), \(\theta = \)57.2\(^\circ\))

  • (\(\sqrt{1400}\), \(\theta = \)28.6\(^\circ\))

  • (\(\sqrt{700.0}\), \(\theta = \)28.6\(^\circ\))

  • (\(\sqrt{37.0}\), \(\theta = \)57.2\(^\circ\))

  • (\(\sqrt{2100.0}\), \(\theta = \)28.6\(^\circ\))

  • (\(\sqrt{51}\), \(\theta = \)57.2\(^\circ\))


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