Find the volume of tetrahedron whose vertices are A(0,1,2),B(3,2,1),C(1,2,1),D(5,5,6)
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Answer:
Find the volume of tetrahedron whose vertices are A(0,1,2),B(3,2,1),C(1,2,1),D(5,5,6)
Answered by
0
Answer:
solution-
a
=−
i
^
+2
j
^
+3
k
^
b
=3
i
^
−2
j
^
+
k
^
c
=2
i
^
+
j
^
+3
k
^
d
=
i
^
−2
j
^
+4
k
^
AB
=
b
−
a
=4
i
^
−4
j
^
−2
k
^
AC
=
c
−
a
=3
i
^
−
j
^
AD
=
d
−
a
=−4
j
^
+
k
^
Volume of Tetrahedral =
6
1
[
AB
AC
AD
]
6
1
∣
∣
∣
∣
∣
∣
∣
∣
4
3
0
−4
−1
−4
−2
0
1
∣
∣
∣
∣
∣
∣
∣
∣
Volume =
6
1
[4(−1−0)+4(3−0)−2(−12−0)]
=
6
32
=
3
16
cubic units.
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