Answer:
\[\text{(\hat{i}}+\text{\hat{j})}\]is
not a unit vector. If \[\vec{R}=\text{\hat{i}}+\text{\hat{j}}\], then = \[\text{R
}=\sqrt{{{(1)}^{2}}+{{(1)}^{2}}}=\sqrt{2}\] and angle \[\beta \] which \[\vec{R}\]
make with X-axis is given by, \[\text{cos}\beta =1/\sqrt{2}~=\text{cos
45}{}^\circ \]or\[\theta =\text{45}{}^\circ \].
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