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प्रश्न
If D, E, F are the mid points of the sides BC, CA and AB respectively of a triangle ABC and 'O' is any point, then, `|vec(AD) + vec(BE) + vec(CF)|`, is ______.
पर्याय
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MCQ
रिकाम्या जागा भरा
उत्तर
If D, E, F are the mid points of the sides BC, CA and AB respectively of a triangle ABC and 'O' is any point, then, `|vec(AD) + vec(BE) + vec(CF)|`, is 0.
Explanation:
`vec(AD) + vec(BE) + vec(CF)`
= `((vecb + vecc)/2 - veca) + ((veca + vecc)/2 - vecb) + ((veca + vecb)/2 - vecc)`
= `(veca + vecb + vecc) - (veca + vecb + vecc)`
= 0
Hence `|vec(AD) + vec(BE) + vec(CF)|` = 0
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