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Diketahui space p with rightwards harpoon with barb upwards on top equals open parentheses table row cell negative 3 end cell row 3 row 0 end table close parentheses space dan space q with italic rightwards harpoon with barb upwards on top equals open parentheses table row 1 row 3 row cell negative 2 end cell end table close parentheses. space Apabila space straight alpha space adalah space sudut space yang space dibentuk space antara space vektor space p with italic rightwards harpoon with barb upwards on top  dan space q with rightwards harpoon with barb upwards on top comma space maka space tan space straight alpha space equals space....

  1. 1 over 6 square root of 6

  2. 1 over 7 square root of 7

  3. 6 over 7 square root of 7

  4. Error converting from MathML to accessible text.

  5. square root of 7

F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

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Pembahasan

Ingat space rumus space perkalian space titik space pada space vektor colon  p with rightwards harpoon with barb upwards on top. q with rightwards harpoon with barb upwards on top equals open vertical bar p with rightwards harpoon with barb upwards on top close vertical bar open vertical bar q with rightwards harpoon with barb upwards on top close vertical bar space cos space straight alpha  open parentheses table row cell negative 3 end cell row 3 row 0 end table close parentheses open parentheses table row 1 row 3 row cell negative 2 end cell end table close parentheses equals square root of left parenthesis negative 3 right parenthesis squared space plus space 3 squared end root square root of 1 squared plus 3 squared plus left parenthesis negative 2 right parenthesis squared end root space cos space straight alpha  minus 3 plus 9 plus 0 equals square root of 18 square root of 14 cos space straight alpha  6 equals square root of 252 space cos space straight alpha  6 equals 6 square root of 7 space cos space straight alpha    Berarti comma space cos space straight alpha space equals space fraction numerator 6 over denominator 6 square root of 7 end fraction equals fraction numerator 1 over denominator square root of 7 end fraction  sin space straight alpha space equals space fraction numerator square root of left parenthesis square root of 7 right parenthesis squared minus 1 squared end root over denominator square root of 7 end fraction equals fraction numerator square root of 6 over denominator square root of 7 end fraction  tan space straight alpha space equals fraction numerator begin display style fraction numerator square root of 6 over denominator square root of 7 end fraction end style over denominator begin display style fraction numerator 1 over denominator square root of 7 end fraction end style end fraction equals square root of 6

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Diketahui vektor-vektor u=⎝⎛​101​⎠⎞​ dan v=⎝⎛​1−10​⎠⎞​. Nilai sinus sudut antara vektor u dan vektor v adalah....

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