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Mathematics
Problem
Let
a
=
3
i
−
j
+
4
k
\mathbf{a}=3\mathbf{i}-\mathbf{j}+4\mathbf{k}
a
=
3
i
−
j
+
4
k
and
b
=
2
i
+
2
j
+
k
\mathbf{b}=2\mathbf{i}+2\mathbf{j}+\mathbf{k}
b
=
2
i
+
2
j
+
k
. Determine the vector projection (component) of
a
+
b
\mathbf{a}+\mathbf{b}
a
+
b
along
b
\mathbf{b}
b
. a)
17
3
b
\dfrac{17}{3}\,\mathbf{b}
3
17
b
b)
17
9
(
a
+
b
)
\dfrac{17}{9}\,(\mathbf{a}+\mathbf{b})
9
17
(
a
+
b
)
c)
17
9
b
\dfrac{17}{9}\,\mathbf{b}
9
17
b
d)
8
9
b
\dfrac{8}{9}\,\mathbf{b}
9
8
b
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