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Mathematics
Problem
Given the vectors
u
=
2
i
^
−
j
^
−
k
^
\mathbf{u} = 2\hat{i} - \hat{j} - \hat{k}
u
=
2
i
^
−
j
^
−
k
^
v
=
i
^
−
j
^
+
2
k
^
\mathbf{v} = \hat{i} - \hat{j} + 2\hat{k}
v
=
i
^
−
j
^
+
2
k
^
w
=
i
^
−
k
^
\mathbf{w} = \hat{i} - \hat{k}
w
=
i
^
−
k
^
If the volume of the parallelopiped having
−
c
u
-c\mathbf{u}
−
c
u
,
v
\mathbf{v}
v
, and
c
w
c\mathbf{w}
c
w
as concurrent edges is 8, then
c
c
c
is equal to a.
±
2
\pm 2
±
2
b. 4 c. 8 d. Cannot be determined
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