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Mathematics
Mathematics
Problem
Determine the unit vector in the direction of the vector
b
=
6
i
−
2
j
+
3
k
\mathbf{b}=6\mathbf{i}-2\mathbf{j}+3\mathbf{k}
b
=
6
i
−
2
j
+
3
k
. a)
6
41
i
−
2
41
j
+
3
41
k
\dfrac{6}{\sqrt{41}}\mathbf{i}-\dfrac{2}{\sqrt{41}}\mathbf{j}+\dfrac{3}{\sqrt{41}}\mathbf{k}
41
6
i
−
41
2
j
+
41
3
k
b)
6
7
i
+
2
7
j
+
3
7
k
\dfrac{6}{7}\mathbf{i}+\dfrac{2}{7}\mathbf{j}+\dfrac{3}{7}\mathbf{k}
7
6
i
+
7
2
j
+
7
3
k
c)
6
7
i
−
2
7
j
+
3
7
k
\dfrac{6}{7}\mathbf{i}-\dfrac{2}{7}\mathbf{j}+\dfrac{3}{7}\mathbf{k}
7
6
i
−
7
2
j
+
7
3
k
d)
6
7
i
−
2
7
j
−
3
7
k
\dfrac{6}{7}\mathbf{i}-\dfrac{2}{7}\mathbf{j}-\dfrac{3}{7}\mathbf{k}
7
6
i
−
7
2
j
−
7
3
k
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