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Tentukan besar selisihS=p​−q​dari vektor-vektor berikut. c. p​=(16−2​) dan q​=(4−3​)

Pertanyaan

Tentukan besar selisihspaceS with rightwards arrow on top equals p with rightwards arrow on top minus q with rightwards arrow on topspacedari vektor-vektor berikut.

c. p with rightwards arrow on top equals open parentheses table row 16 row cell negative 2 end cell end table close parentheses dan q with rightwards arrow on top equals open parentheses table row 4 row cell negative 3 end cell end table close parentheses

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Jawaban terverifikasi

Jawaban

besar selisih vektornya adalah table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar S with rightwards arrow on top close vertical bar end cell equals cell square root of 145 end cell row blank blank blank end table.

Pembahasan

Jawaban yang benar untuk pertanyaan tersebut adalah table attributes columnalign right center left columnspacing 0px end attributes row cell begin bold style vertical line S with rightwards arrow on top vertical line end style end cell bold equals cell square root of bold 145 end cell end table.

Ingat!

Rumus untuk menentukan besar selisih vektor jika diketahui komponen vektornya:

a with rightwards arrow on top equals open parentheses table row cell a subscript 1 end cell row cell a subscript 2 end cell end table close parentheses space text dan end text space b with rightwards arrow on top equals open parentheses table row cell b subscript 1 end cell row cell b subscript 2 end cell end table close parentheses

open vertical bar S with rightwards arrow on top close vertical bar equals square root of open parentheses a subscript 1 minus b subscript 1 close parentheses squared plus open parentheses a subscript 2 minus b subscript 2 close parentheses squared end root

Penyelesaian

Akan ditentukan S with rightwards arrow on top equals p with rightwards arrow on top minus q with rightwards arrow on top.

table attributes columnalign right center left columnspacing 0px end attributes row cell S with rightwards arrow on top end cell equals cell p with rightwards arrow on top minus q with rightwards harpoon with barb upwards on top end cell row blank equals cell open parentheses table row 16 row cell negative 2 end cell end table close parentheses minus open parentheses table row 4 row cell negative 3 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 16 minus 4 end cell row cell negative 2 plus 3 end cell end table close parentheses end cell row blank equals cell open parentheses table row 12 row 1 end table close parentheses end cell end table

Akan ditentukan besar selisih dari vektor dari p with rightwards arrow on top dan q with rightwards arrow on top.

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar S with rightwards arrow on top close vertical bar end cell equals cell square root of 12 squared plus 1 squared end root end cell row blank equals cell square root of 144 plus 1 end root end cell row blank equals cell square root of 145 end cell row blank blank blank end table

Dengan demikian, besar selisih vektornya adalah table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar S with rightwards arrow on top close vertical bar end cell equals cell square root of 145 end cell row blank blank blank end table.

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Diketahui ∣∣​a∣∣​=3, ∣∣​b∣∣​=5, dan ∣∣​a−b∣∣​=211​. Nilai ∣∣​a+b∣∣​ adalah ....

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Jawaban terverifikasi

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