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Mathematics
Mathematics
Problem
If
a
=
4
i
^
+
6
j
^
\mathbf{a} = 4\hat{i} + 6\hat{j}
a
=
4
i
^
+
6
j
^
and
b
=
3
j
^
+
4
k
^
\mathbf{b} = 3\hat{j} + 4\hat{k}
b
=
3
j
^
+
4
k
^
, then the component of
a
\mathbf{a}
a
along
b
\mathbf{b}
b
is a.
18
10
3
(
3
j
^
+
4
k
^
)
\frac{18}{10\sqrt{3}}(3\hat{j} + 4\hat{k})
10
3
18
(
3
j
^
+
4
k
^
)
b.
18
25
(
3
j
^
+
4
k
^
)
\frac{18}{25}(3\hat{j} + 4\hat{k})
25
18
(
3
j
^
+
4
k
^
)
c.
18
3
(
3
j
^
+
4
k
^
)
\frac{18}{\sqrt{3}}(3\hat{j} + 4\hat{k})
3
18
(
3
j
^
+
4
k
^
)
d.
(
3
j
^
+
4
k
^
)
(3\hat{j} + 4\hat{k})
(
3
j
^
+
4
k
^
)
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