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Mathematics
Mathematics
Problem
Let
a
=
i
^
+
j
^
+
k
^
\mathbf{a} = \hat{i} + \hat{j} + \hat{k}
a
=
i
^
+
j
^
+
k
^
,
b
=
i
^
−
j
^
+
2
k
^
\mathbf{b} = \hat{i} - \hat{j} + 2\hat{k}
b
=
i
^
−
j
^
+
2
k
^
and
c
=
x
i
^
+
(
x
−
2
)
j
^
−
k
^
\mathbf{c} = x\hat{i} + (x-2)\hat{j} - \hat{k}
c
=
x
i
^
+
(
x
−
2
)
j
^
−
k
^
. If the vector
c
\mathbf{c}
c
lies in the plane of
a
\mathbf{a}
a
and
b
\mathbf{b}
b
, then
x
x
x
equal to a. 0 b. 1 c. -4 d. -2
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