1.

If in a triangle \[\overrightarrow{AB}=\mathbf{a},\,\,\overrightarrow{AC}=\mathbf{b}\] and D, E are the mid-points of AB and AC respectively, then \[\overrightarrow{DE}\] is equal to [RPET 1986]

A. \[\frac{\mathbf{a}}{4}-\frac{\mathbf{b}}{4}\]
B. \[\frac{\mathbf{a}}{2}-\frac{\mathbf{b}}{2}\]
C. \[\frac{\mathbf{b}}{4}-\frac{\mathbf{a}}{4}\]
D. \[\frac{\mathbf{b}}{2}-\frac{\mathbf{a}}{2}\]
Answer» E.


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