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Mathematics
Mathematics
Problem
When a vector
P
=
4
i
^
−
3
j
^
\mathbf{P}=4\,\hat{i}-3\,\hat{j}
P
=
4
i
^
−
3
j
^
is added to an unknown vector
Q
\mathbf{Q}
Q
, the resultant is
R
=
7
i
^
+
5
j
^
\mathbf{R}=7\,\hat{i}+5\,\hat{j}
R
=
7
i
^
+
5
j
^
. a. (i) Determine the components of
Q
\mathbf{Q}
Q
in unit–vector form. b. (ii) Calculate the magnitude of
Q
\mathbf{Q}
Q
. c. (iii) State the angle that
Q
\mathbf{Q}
Q
makes with the positive
x
x
x
-axis.
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