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10. vector algebra — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths10. vector algebra1 Mark
MCQ
In a regular hexagon $ABCDEF$ , $\overrightarrow {AE} = $
  • A
    $\overrightarrow {AC} \,\, + \,\,\overrightarrow {AF} \,\, + \,\overrightarrow {AB} $
  • ✓
    $\overrightarrow {AC} \,\, + \,\,\overrightarrow {AF} \,\, - \,\overrightarrow {AB} $
  • C
    $\overrightarrow {AC} \,\, + \,\,\overrightarrow {AB} \,\, - \,\,\overrightarrow {AF} $
  • D
    None of these
✓

Answer

Correct option: B.
$\overrightarrow {AC} \,\, + \,\,\overrightarrow {AF} \,\, - \,\overrightarrow {AB} $
b
(b) Obviously, $\overrightarrow {AE} = \overrightarrow {AC} + \overrightarrow {CD} + \overrightarrow {DE} $

$ = \overrightarrow {AC} + \overrightarrow {AF} - \overrightarrow {AB} $, .$\left\{ {\,\because \,\,\overrightarrow {CD}  = \overrightarrow {AF} \,{\text{and}}\,\overrightarrow {DE}  =  - \overrightarrow {AB} } \right\}$  

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