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Mathematics
Problem
Let
a
=
2
i
−
3
j
+
k
\mathbf{a}=2\mathbf{i}-3\mathbf{j}+\mathbf{k}
a
=
2
i
−
3
j
+
k
,
b
=
−
i
+
4
j
+
2
k
\mathbf{b}=-\mathbf{i}+4\mathbf{j}+2\mathbf{k}
b
=
−
i
+
4
j
+
2
k
and
c
=
3
i
+
j
−
2
k
\mathbf{c}=3\mathbf{i}+\mathbf{j}-2\mathbf{k}
c
=
3
i
+
j
−
2
k
. a. (i) Find the scalar projection of the vector
a
+
c
\mathbf{a}+\mathbf{c}
a
+
c
on
b
\mathbf{b}
b
. b. (ii) Determine the vector component of
a
+
c
\mathbf{a}+\mathbf{c}
a
+
c
along
b
\mathbf{b}
b
.
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