tentukan besar sudut yang dibentuk oleh kedua vektor berikut. c. a=i dan b=j

Pertanyaan

tentukan besar sudut yang dibentuk oleh kedua vektor berikut.

c. $\style{font-size:14px}{\overrightarrow a=\overrightarrow i}$ dan $\style{font-size:14px}{\overrightarrow b=\overrightarrow j}$

W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

besar sudut antara

dan

adalah

Pembahasan

Ingat kembali:

$begin mathsize 14px style cos space theta equals fraction numerator a with rightwards arrow on top times b with rightwards arrow on top over denominator open vertical bar a with rightwards arrow on top close vertical bar times space open vertical bar b with rightwards arrow on top close vertical bar end fraction end style$

Maka:

Sehingga:

$begin mathsize 14px style cos space theta equals fraction numerator a with rightwards arrow on top times space b with rightwards arrow on top over denominator stack open vertical bar a close vertical bar with rightwards arrow on top times space open vertical bar b with rightwards arrow on top close vertical bar end fraction cos space theta equals fraction numerator open parentheses table row 1 row 0 end table close parentheses times space open parentheses table row 0 row 1 end table close parentheses over denominator square root of 1 squared plus 0 squared end root times space square root of 0 squared plus 1 squared end root end fraction cos space theta equals fraction numerator 0 plus 0 over denominator square root of 1 plus 0 end root times space square root of 0 plus 1 end root end fraction cos space theta equals fraction numerator 0 over denominator 1 with rightwards arrow on top times space 1 end fraction cos space theta equals 0 over 1 cos space theta equals 0 cos space theta equals cos space 90 degree space space space space space space theta equals 90 degree end style$