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Mathematics
Mathematics
Problem
Consider the vector
a
=
3
i
−
4
j
\mathbf{a}=3\mathbf{i}-4\mathbf{j}
a
=
3
i
−
4
j
. a. (i) Find
∣
a
∣
|\mathbf{a}|
∣
a
∣
. b. (ii) Hence, verify that
u
^
=
3
5
i
−
4
5
j
\hat{\mathbf{u}}=\dfrac{3}{5}\,\mathbf{i}-\dfrac{4}{5}\,\mathbf{j}
u
^
=
5
3
i
−
5
4
j
is a unit vector.
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