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Mathematics
Mathematics
Problem
If
a
=
i
^
+
j
^
+
k
^
\mathbf{a} = \hat{i} + \hat{j} + \hat{k}
a
=
i
^
+
j
^
+
k
^
and
b
=
j
^
−
k
^
\mathbf{b} = \hat{j} - \hat{k}
b
=
j
^
−
k
^
, then find a vector
c
\mathbf{c}
c
such that
a
×
c
=
b
\mathbf{a} \times \mathbf{c} = \mathbf{b}
a
×
c
=
b
and
a
⋅
c
=
3.
\mathbf{a} \cdot \mathbf{c} = 3.
a
⋅
c
=
3.
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