%path = "maths/vectors/2d"
%kind = chindnum["problems"]
%level = 11
\(\vec{x} = \begin{pmatrix}{{chiven.x[0]}}\\{{chiven.x[1]}}\end{pmatrix}\) und
\(\vec{y} = \begin{pmatrix}{{chiven.y[0]}}\\{{chiven.y[1]}}\end{pmatrix}\)
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Find the angle between \(\vec{x}\) and \(\vec{y}\)?
%chq(0)
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What is the area of the triangle created by them.
%chq(1)
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Calculate their lengths?
\(|\vec{x}| = \)
%chq(2)
\(|\vec{y}| = \)
%chq(3)
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Write down the unit vectors:
\(\vec{x_o} = \)
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%chq(4)
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%chq(5)
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\(\vec{y_o} = \)
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%chq(6)
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%chq(7)
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Go from the end of \(\vec{y}\) {{chiven.dx}} units in the direction of \(\vec{x}\)
and then back to the beginning of \(\vec{y}\). What is the area of this triangle.
%chq(8)