Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. p(3,\ 0,\ 1) Q(-1,\ 2,\ 5) R(5,\ 1,\ -1) S(0,\ 4,\ 2)

sagnuhh

sagnuhh

Answered question

2021-05-12

Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS.
p(3, 0, 1)
Q(1, 2, 5)
R(5, 1, 1)
S(0, 4, 2)

Answer & Explanation

lamanocornudaW

lamanocornudaW

Skilled2021-05-13Added 85 answers

Step 1
p(3, 0, 1),
Q(1, 2, 5),
R(5, 1, 1),
S(0, 4, 2)
PQ=QP=4, 2, 4
PR=RP=2, 1, 2
PS=SP=3, 4, 1
[PQ PR PS]=|424212341|
=4(9)2(4)+4(11)
=36+8+44=16
volume of the parallelepiped with adjacent edges PQ, PR, and PS=16 cubic units.

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