contoh soal vektor dimensi 2 beserta cara
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Penjelasan dengan langkah-langkah:
VEKTOR DIMENSI 2
• jika a = –2i + j dan b = –3i + 4j
maka, nilai dari :
- a + b = ....
- 3a – 2b = ....
- a.b = ....
- panjang vektor b = ....
jawaban :
1. a + b = (-2+(-3), (1+4))
a + b = (–5, 5)
2. 3a – 2b = 3(-2, 1) – 2(-3, 4)
3a – 2b = (–6, 3) – (–6, 8)
3a – 2b = (–6–(–6), (3–8))
3a – 2b = (–6+6, –5)
3a – 2b = (0, –5)
3. a.b = (–2×(–3) + 1×4)
a.b = (6 + 4)
a.b = 10
4. |b| = √(–3)²+4² = √(9+16)
|b| = √25
|b| = 5
[answer.2.content]
