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Mathematics
Mathematics
Problem
Let
a
=
x
i
^
+
12
j
^
−
k
^
a = x\hat{i} + 12\hat{j} - \hat{k}
a
=
x
i
^
+
12
j
^
−
k
^
,
b
=
2
i
^
+
2
x
j
^
+
k
^
b = 2\hat{i} + 2x\hat{j} + \hat{k}
b
=
2
i
^
+
2
x
j
^
+
k
^
and
c
=
i
^
+
k
^
c = \hat{i} + \hat{k}
c
=
i
^
+
k
^
. If
b
,
c
,
a
b, c, a
b
,
c
,
a
in that order form a left handed system, then find the value of
x
x
x
.
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