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If veca, vecb and vecc are three units vectors equally inclined to each other at an angle alpha. Then the angle between veca and plane of vecb and vecc is |
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Answer» `theta=cos^(-1)(cosalpha)/(cosalpha/2)` Then from the given conditions `veca.veca+(vecb-vecc).(vecb-vecc)=vecb.vecb+(vecc-veca).(vecc-veca)` `RARR vecc.(vecb-veca)=0` `rArr vec(BA).vec(OC)=0` Hence `AB bot OC`. Similarly, `BC bot OA` and `CA bot OB` |
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