11판/3. 벡터

3-29 할리데이 11판 솔루션 일반물리학

짱세디럭스 2024. 1. 24. 19:02
{a=4.30b=6.20ϕ=50.0° \begin{cases} a&=4.30\\ b&=6.20\\ \phi&=50.0\degree\\ \end{cases} (a)\ab{a} A=12absinϕ=124.36.2sin50°10.2113724267759810.2 \begin{aligned} A&=\frac{1}{2}ab\sin\phi\\ &=\frac{1}{2}\cdot4.3\cdot6.2\sin50\degree\\ &\approx 10.21137242677598\\ &\approx 10.2\\ \end{aligned} (b)\ab{b} a×b=absinϕ,\vec a\times \vec b =ab\sin\phi, A=12absinϕ=12(a×b) \begin{aligned} A&=\frac{1}{2}ab\sin\phi\\ &=\frac{1}{2}\(\vec a\times \vec b\)\\ \end{aligned}