Consider the following diagram. The point O represents the origin of the xy-plane.
B
y
C
A
E
X
10
D
The shape BCDE (in blue) is a rectangle whose centre is at A(-6.7, 1.7) (in black). It is given that
$\vec{OA} \parallel \vec{BC}$, $|BC| = 5.8$ and $|BE| = 2.2$.
For the following, enter your answers in the form (x, y) for both vectors and points. Round each value to at
least 3 decimal places. For example, if your answer is (-1.234, 5.678), enter (-1.234, 5.678) in the
answer box.
a) The unit vector that points in the same direction as $\vec{OA}$ is (-0.969, 0.246)
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b) The unit vector that points in the same direction as $\vec{BE}$ is (-0.246,-0.969)
$\vec{BC}$ = (5.622,-1.426)
$\vec{BE}$ = (-0.541,-2.132)
Use the results from (a) to (d) to find the following. Hint: Try to use vector addition to find $\vec{OB}$ and $\vec{OC}$.
e) The point B is at the location |
f) The point C is at the location
