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10. vector algebra — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths10. vector algebra1 Mark
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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