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Find the volume of the parallelepiped with adjacent edges PQ, PR, PS. P(2, 0, 2), Q(-2, 3, 6),...

Question:

Find the volume of the parallelepiped with adjacent edges {eq}PQ, \; PR, \; PS {/eq}.

{eq}P(2, 0, 2), \; Q(-2, 3, 6), \; R(5, 3, 0), \; S(-1, 6, 4) {/eq}

The Volume of The Parallelepiped:

The volume of the parallelepiped with adjacent edges is determined by the vectors {eq}a \ , b \ , \ c {/eq} is: {eq}| a\cdot (b \times c)| {/eq}.

We need to find out the cross product and the dot product to get the solution.

Answer and Explanation:

We are given:

{eq}P(2, 0, 2), \; Q(-2, 3, 6), \; R(5, 3, 0), \; S(-1, 6, 4) {/eq}

Now we need to find the volume of the parallelepiped with...

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from PSAT Prep: Tutoring Solution

Chapter 10 / Lesson 13
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