MCQ
સદીશ $\bar a\,\, = \,\,(1,\,1,\,1)\,$ નો સદીશ $\bar b\,\, = \,\,(2,\,2,\,1)$ પર પ્રક્ષેપ સદીશ શું થાય .?
- A$\frac{5}{9}\,\left( {2,\,2,\,1} \right)$
- B$(1, 3, 2)$
- C$(0, 0, 1)$
- D$\frac{1}{9}\,\left( {1,\,3,\,2} \right)$
$\bar a$ નો $\bar b\,$ પરનો પ્રક્ષેપ સદીશ $ = \,\,\left( {\frac{{\bar a\,.\,\bar b}}{{|\bar b{|^2}}}} \right)\bar b$
$ = \,\,\left( {\frac{{(1,\,1,\,1)\,.\,(2,\,2,\,1)}}{{(4\, + \,4\, + \,1)}}} \right)\,(2,\,2,\,1)\,\,\,$
$ = \,\,\frac{{2\, + \,2\, + \,1}}{9}\,(2,\,2,\,1)\,\,\, $
$= \,\,\frac{5}{9}\,(2,\,2,\,1)$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.