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Mathematics
Mathematics
Problem
Let
a
=
i
^
−
k
^
\mathbf{a}=\hat{i}-\hat{k}
a
=
i
^
−
k
^
,
b
=
x
i
^
+
j
^
+
(
1
−
x
)
k
^
\mathbf{b}=x\hat{i}+\hat{j}+(1-x)\hat{k}
b
=
x
i
^
+
j
^
+
(
1
−
x
)
k
^
and
c
=
y
i
^
+
x
j
^
+
(
1
+
x
−
y
)
k
^
\mathbf{c}=y\hat{i}+x\hat{j}+(1+x-y)\hat{k}
c
=
y
i
^
+
x
j
^
+
(
1
+
x
−
y
)
k
^
. Then,
∣
a
b
c
∣
\left|\mathbf{a}\ \mathbf{b}\ \mathbf{c}\right|
∣
a
b
c
∣
depends on a. Neither
x
x
x
nor
y
y
y
b. Both
x
x
x
and
y
y
y
c. Only
x
x
x
d. Only
y
y
y
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