10판/3. 벡터

3-23 할리데이 10판 솔루션 일반물리학

짱세디럭스 2019. 8. 9. 15:21

b=32+42=5 b=\sqrt{3^2+4^2}=5 θa=tan1(11)=π4 \theta_a=\tan^{-1}\(\frac{-1}{1}\)=-\frac{\pi}{4} r:(5,π4)={5cos(π4)}i^+{5sin(π4)}j^=(52)i^+(52)j^ \begin{aligned} \therefore \vec r&:\(5,-\frac{\pi}{4}\)\\ &=\bra{5\cos(-\frac{\pi}{4})}\hat i+\bra{5\sin(-\frac{\pi}{4})}\hat j\\ &=\(\frac{5}{\sqrt2}\)\hat i + \(-\frac{5}{\sqrt2}\)\hat j\\ \end{aligned}