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Diketahui vektor p​=(12​) dan q​=(42​) sudut antara p​ dan q​ adalah β. Nilai dari cosβ=....

Pertanyaan

Diketahui vektor begin mathsize 14px style p with rightwards arrow on top equals open parentheses table row 1 row 2 end table close parentheses end style dan begin mathsize 14px style q with rightwards arrow on top equals open parentheses table row 4 row 2 end table close parentheses end style sudut antara begin mathsize 14px style straight p with rightwards arrow on top space dan space straight q with rightwards arrow on top end style adalah begin mathsize 14px style beta end style. Nilai dari begin mathsize 14px style cos beta equals end style.... 

  1. ...space 

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F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

Pembahasan

Vektor  begin mathsize 14px style p with rightwards arrow on top equals open parentheses table row 1 row 2 end table close parentheses end style dan begin mathsize 14px style q with rightwards arrow on top equals open parentheses table row 4 row 2 end table close parentheses end style

 ingat rumus dot product pada vektor begin mathsize 14px style straight u times straight v equals vertical line straight u vertical line vertical line straight v vertical line cross times cosθ end style,maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell p with rightwards arrow on top times q with rightwards arrow on top end cell equals cell vertical line p with rightwards arrow on top vertical line vertical line q with rightwards arrow on top vertical line cos beta end cell row cell open parentheses table row 1 row 2 end table close parentheses times open parentheses table row 4 row 2 end table close parentheses end cell equals cell square root of 1 squared plus 2 squared end root square root of 4 squared plus 2 squared end root cos beta end cell row cell 4 plus 4 end cell equals cell square root of 5 square root of 20 cos beta end cell row 8 equals cell square root of 25 cos beta end cell row 8 equals cell 5 cos beta end cell row cell cos beta end cell equals cell 8 over 5 end cell end table end style

Nilai dari begin mathsize 14px style cos beta equals end stylebegin mathsize 14px style 8 over 5 end style.

81

3.7 (4 rating)

Puji Handayani

Pembahasan terpotong

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Diketahui vektor-vektor:  u= 4i−2j+4k dan v=2i+5j−4k Vektor u+cv tegak lurus pada vektor u jika c=....

242

5.0

Jawaban terverifikasi

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