Anonymous
Anonymous asked in Science & MathematicsMathematics · 6 years ago

Find the volume of the parallelepiped determined by vectors a,b,c a = i + j - k, b = i - j + k, c = -i+j+k?

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  • 6 years ago
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    You just need to calculate the scalar triple product a . (b x c) which is equal to the absolute value of the 3x3 determinant

    | 1 1 -1 |

    | 1 -1 1 |

    | -1 1 1 |

    Expanding via the first row, I calculate it to be abs(1 x (-1 - 1) - 1 x (1 + 1) - 1 x (1 - 1)) = abs(-4) = 4 cubic units.

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