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Math Help - Area of triangle using cross product

  1. #1
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    Question Area of triangle using cross product

    Find the area of the triangle if the vertices are:
    A=(2,1)
    B=(4,-1)
    C=(6,3) using vector cross product.
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  2. #2
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    P_{1}(2,1), \;\ P_{2}(4,-1), \;\ P_{3}(6,3)

    \overrightarrow{P_{1}P_{2}}=(2,-2)

    \overrightarrow{P_{1}P_{3}}=(4,2)

    \overrightarrow{P_{1}P_{2}}\times\overrightarrow{P  _{1}P_{3}}=(0,0,12)

    \frac{1}{2}||\overrightarrow{P_{1}P_{2}}\times\ove  rrightarrow{P_{1}P_{3}}||=?

    Can you finish?.
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