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Mathematics
Mathematics
Problem
The vector
c
\mathbf{c}
c
, directed along the internal bisector of the angle between the vectors
a
=
7
i
^
−
4
j
^
−
4
k
^
\mathbf{a} = 7\hat{i} - 4\hat{j} - 4\hat{k}
a
=
7
i
^
−
4
j
^
−
4
k
^
and
b
=
−
2
i
^
−
j
^
+
2
k
^
\mathbf{b} = -2\hat{i} - \hat{j} + 2\hat{k}
b
=
−
2
i
^
−
j
^
+
2
k
^
with
∣
c
∣
=
5
6
|\mathbf{c}| = 5\sqrt{6}
∣
c
∣
=
5
6
, is a.
5
3
(
i
^
−
7
j
^
+
2
k
^
)
\frac{5}{3}(\hat{i} - 7\hat{j} + 2\hat{k})
3
5
(
i
^
−
7
j
^
+
2
k
^
)
b.
5
3
(
5
i
^
+
5
j
^
+
2
k
^
)
\frac{5}{3}(5\hat{i} + 5\hat{j} + 2\hat{k})
3
5
(
5
i
^
+
5
j
^
+
2
k
^
)
c.
5
3
(
i
^
+
7
j
^
+
2
k
^
)
\frac{5}{3}(\hat{i} + 7\hat{j} + 2\hat{k})
3
5
(
i
^
+
7
j
^
+
2
k
^
)
d.
5
3
(
−
5
i
^
+
5
j
^
+
2
k
^
)
\frac{5}{3}(-5\hat{i} + 5\hat{j} + 2\hat{k})
3
5
(
−
5
i
^
+
5
j
^
+
2
k
^
)
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