Roboguru

Diketahui vektor  dan . Jika  adalah panjang proyeksi vektor  pada  dan , maka nilai ....

Pertanyaan

Diketahui vektor begin mathsize 14px style p with rightwards arrow on top equals i with rightwards arrow on top minus alpha j with rightwards arrow on top plus 4 k with rightwards arrow on top end style dan size 14px q with size 14px rightwards harpoon with barb upwards on top size 14px equals size 14px i with size 14px rightwards harpoon with barb upwards on top size 14px minus size 14px 2 size 14px j with size 14px rightwards harpoon with barb upwards on top size 14px plus size 14px 2 size 14px k with size 14px rightwards harpoon with barb upwards on top. Jika begin mathsize 14px style open vertical bar r with rightwards harpoon with barb upwards on top close vertical bar end style adalah panjang proyeksi vektor begin mathsize 14px style p with rightwards harpoon with barb upwards on top end style pada begin mathsize 14px style q with rightwards harpoon with barb upwards on top end style dan begin mathsize 14px style open vertical bar r with rightwards harpoon with barb upwards on top close vertical bar equals 5 end style, maka nilai begin mathsize 14px style alpha equals end style....

Pembahasan Soal:

Perhatikan 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar r with rightwards arrow on top close vertical bar end cell equals cell fraction numerator p with rightwards arrow on top space times q with rightwards arrow on top over denominator open vertical bar q with rightwards arrow on top close vertical bar end fraction end cell row 5 equals cell fraction numerator 1 plus 2 alpha plus 8 over denominator 3 end fraction end cell row 15 equals cell 9 plus 2 alpha end cell row 6 equals cell 2 alpha end cell row 3 equals alpha end table end style

Jadi, nilai begin mathsize 14px style alpha end style yang memenuhi adalah begin mathsize 14px style 3 end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 11 April 2021

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