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Mathematics
Problem
Let
a
=
i
^
+
j
^
+
k
^
\mathbf{a} = \hat{i} + \hat{j} + \hat{k}
a
=
i
^
+
j
^
+
k
^
,
b
=
−
i
^
+
j
^
+
k
^
\mathbf{b} = -\hat{i} + \hat{j} + \hat{k}
b
=
−
i
^
+
j
^
+
k
^
,
c
=
i
^
−
j
^
+
k
^
\mathbf{c} = \hat{i} - \hat{j} + \hat{k}
c
=
i
^
−
j
^
+
k
^
and
d
=
i
^
+
j
^
−
k
^
\mathbf{d} = \hat{i} + \hat{j} - \hat{k}
d
=
i
^
+
j
^
−
k
^
. Then, the line of intersection of planes one determined by
a
,
b
\mathbf{a}, \mathbf{b}
a
,
b
and other determined by
c
,
d
\mathbf{c}, \mathbf{d}
c
,
d
is perpendicular to a.
X
X
X
-axis b.
Y
Y
Y
-axis c. both
X
X
X
-axis and
Y
Y
Y
-axis d. both
Y
Y
Y
-axis and
Z
Z
Z
-axis
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