Vectors $ \vec{A} $ and $ \vec{B} $ originate from the same point on a set of perpendicular $ x $- and $ y $-axes as shown in the accompanying figure. Vector $ \vec{A} $ has magnitude $ 6.3 $ and is directed $ 23^{\circ} $ to the left of the positive $ y $-axis. Vector $ \vec{B} $ has magnitude $ 5.7 $ and is directed $ 34^{\circ} $ above the positive $ x $-axis. A third vector is defined by $ \vec{C} = \vec{B} – \vec{A} $. What is the magnitude of $ \vec{C} $?

Question

Vectors $ \vec{A} $ and $ \vec{B} $ originate from the same point on a set of perpendicular $ x $- and $ y $-axes as shown in the accompanying figure. Vector $ \vec{A} $ has magnitude $ 6.3 $ and is directed $ 23^{\circ} $ to the left of the positive $ y $-axis. Vector $ \vec{B} $ has magnitude $ 5.7 $ and is directed $ 34^{\circ} $ above the positive $ x $-axis. A third vector is defined by $ \vec{C} = \vec{B} &#8211; \vec{A} $. What is the magnitude of $ \vec{C} $?(a) $ 3.9 $
, (b) $ 5.9 $
, (c) $ 6.8 $
, (d) $ 7.7 $
, (e) $ 8.4 $
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