Diketahui segi enam beraturan seperti ditunjukkan pada gambar berikut Jika AB⇀=u⇀ dan BC⇀=v⇀. Tentukan vektor AB⇀+AC⇀+AD⇀+AE⇀.

Pertanyaan

Diketahui segi enam beraturan seperti ditunjukkan pada gambar berikut

Jika begin mathsize 14px style stack A B with rightwards harpoon with barb upwards on top equals u with rightwards harpoon with barb upwards on top end style dan begin mathsize 14px style stack B C with rightwards harpoon with barb upwards on top equals v with rightwards harpoon with barb upwards on top end style.
Tentukan vektor begin mathsize 14px style stack A B with rightwards harpoon with barb upwards on top plus stack A C with rightwards harpoon with barb upwards on top plus stack A D with rightwards harpoon with barb upwards on top plus stack A E with rightwards harpoon with barb upwards on top end style.

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A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

Jika begin mathsize 14px style stack A B with rightwards harpoon with barb upwards on top equals u with rightwards harpoon with barb upwards on top end style dan begin mathsize 14px style stack B C with rightwards harpoon with barb upwards on top equals v with rightwards harpoon with barb upwards on top end style
begin mathsize 14px style stack B O with rightwards harpoon with barb upwards on top equals stack A B with rightwards harpoon with barb upwards on top plus stack B C with rightwards harpoon with barb upwards on top equals u with rightwards harpoon with barb upwards on top plus v with rightwards harpoon with barb upwards on top end style 

begin mathsize 14px style stack A B with rightwards harpoon with barb upwards on top plus stack A C with rightwards harpoon with barb upwards on top plus stack A D with rightwards harpoon with barb upwards on top plus stack A E with rightwards harpoon with barb upwards on top equals stack A B with rightwards harpoon with barb upwards on top plus left parenthesis stack A B with rightwards harpoon with barb upwards on top plus stack B C with rightwards harpoon with barb upwards on top right parenthesis plus left parenthesis stack A B with rightwards harpoon with barb upwards on top plus stack B C with rightwards harpoon with barb upwards on top plus stack C D with rightwards harpoon with barb upwards on top right parenthesis plus left parenthesis stack A F with rightwards harpoon with barb upwards on top plus stack F E with rightwards harpoon with barb upwards on top right parenthesis equals u with rightwards harpoon with barb upwards on top plus left parenthesis u with rightwards harpoon with barb upwards on top plus v with rightwards harpoon with barb upwards on top right parenthesis plus left parenthesis u with rightwards harpoon with barb upwards on top plus v with rightwards harpoon with barb upwards on top plus open parentheses u with rightwards harpoon with barb upwards on top plus v with rightwards harpoon with barb upwards on top close parentheses right parenthesis plus left parenthesis open parentheses u with rightwards harpoon with barb upwards on top plus v with rightwards harpoon with barb upwards on top close parentheses plus v with rightwards harpoon with barb upwards on top right parenthesis equals 5 u with rightwards harpoon with barb upwards on top plus 5 v with rightwards harpoon with barb upwards on top end style

Dengan demikian diperoleh vektor
 begin mathsize 14px style stack A B with rightwards harpoon with barb upwards on top plus stack A C with rightwards harpoon with barb upwards on top plus stack A D with rightwards harpoon with barb upwards on top plus stack A E with rightwards harpoon with barb upwards on top end style = begin mathsize 14px style 5 u with rightwards harpoon with barb upwards on top plus 5 v with rightwards harpoon with barb upwards on top end style.

4rb+

4.5 (7 rating)

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49

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