3 , ,OD + DA + DB + DC = - Vidyadip

MCQ

$3\,\,\overrightarrow {OD} + \overrightarrow {DA} + \overrightarrow {DB} + \overrightarrow {DC} = $

A
$\overrightarrow {OA} + \overrightarrow {OB} - \overrightarrow {OC} $
B
$\overrightarrow {OA} + \overrightarrow {OB} - \overrightarrow {BD} $
✓
$\overrightarrow {OA} + \overrightarrow {OB} + \overrightarrow {OC} $
D
None of these

✓

Answer

Correct option: C.

$\overrightarrow {OA} + \overrightarrow {OB} + \overrightarrow {OC} $

c
(c) $3\overrightarrow {OD} + \overrightarrow {DA} + \overrightarrow {DB} + \overrightarrow {DC} $

$ = \overrightarrow {OD} + \overrightarrow {DA} + \overrightarrow {OD} + \overrightarrow {DB} + \overrightarrow {OD} + \overrightarrow {DC} $$ = \overrightarrow {OA} + \overrightarrow {OB} + \overrightarrow {OC} .$

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