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Jika diketahui  dan  dan , maka besar sudut antara...

Jika diketahui open vertical bar a with rightwards harpoon with barb upwards on top close vertical bar equals square root of 2 dan open vertical bar b with rightwards harpoon with barb upwards on top close vertical bar equals square root of 9 dan a with rightwards harpoon with barb upwards on top times b with rightwards harpoon with barb upwards on top equals negative 3, maka besar sudut antara a with rightwards harpoon with barb upwards on top dan b with rightwards harpoon with barb upwards on top adalah ....

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Jawaban:

Sudut antar dua vektor dapat dititung dengan :

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 open vertical bar b with rightwards arrow on top close vertical bar end fraction

Maka,

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 open vertical bar b with rightwards arrow on top close vertical bar end fraction equals fraction numerator negative 3 over denominator square root of 2 square root of 9 end fraction equals negative fraction numerator 1 over denominator square root of 2 end fraction theta equals 145 degree

Jadi, besat sudut antara a with rightwards harpoon with barb upwards on top dan b with rightwards harpoon with barb upwards on top adalah 145 degree.

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