Question

Determine whether or not the points A(1,3,−2), B(3,4,1), C(2,0,−2), and D(4,8,4) are coplanar. If not, find the volume of the pyramid with these four points as its vertices, given that its volume is one-sixth that of the parallelepiped spanned by AB, AC, and AD

Step 1

Let vector a , b and c represents the vector vector AB,AC and AD respectively.

Step 2

Now we find scalar triple product of vectors a, b and c

Step 3

Since scalar triple product of vectors a, b and c is 0, ...

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