변위벡터,displacement_vector

Difference between r1.7 and the current

@@ -4,14 +4,13 @@
[[입자,particle]]가 이동해서 [[위치벡터,position_vector]]가 $\vec{r_1}\to\vec{r_2}$ 로 변하면, 입자의 변위는
$\Delta\vec{r}=\vec{r_2}-\vec{r_1}$
ie
$\Delta\vec{r}=(x_2\hat{i}+y_2\hat{j}+z_2\hat{k})-(x_1\hat{i}+y_1\hat{j}+z_1\hat{k})$
$\Delta\vec{r}=(x_2\hat{\rm i}+y_2\hat{\rm j}+z_2\hat{\rm k})-(x_1\hat{\rm i}+y_1\hat{\rm j}+z_1\hat{\rm k})$
ie
$\Delta\vec{r}=(x_2-x_1)\hat{i}+(y_2-y_1)\hat{j}+(z_2-z_1)\hat{k}$
$=\Delta x\hat{i}+\Delta y\hat{j}+\Delta z\hat{k}$
$\Delta\vec{r}=(x_2-x_1)\hat{\rm i}+(y_2-y_1)\hat{\rm j}+(z_2-z_1)\hat{\rm k}$
$=\Delta x\hat{\rm i}+\Delta y\hat{\rm j}+\Delta z\hat{\rm k}$


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Up:
[[벡터,vector]]



사실 변위는 벡터이다. 따라서 변위,displacement 페이지를 참조.

Halliday Ch4 서문에서

입자,particle가 이동해서 위치벡터,position_vector$\vec{r_1}\to\vec{r_2}$ 로 변하면, 입자의 변위는
$\Delta\vec{r}=\vec{r_2}-\vec{r_1}$
ie
$\Delta\vec{r}=(x_2\hat{\rm i}+y_2\hat{\rm j}+z_2\hat{\rm k})-(x_1\hat{\rm i}+y_1\hat{\rm j}+z_1\hat{\rm k})$
ie
$\Delta\vec{r}=(x_2-x_1)\hat{\rm i}+(y_2-y_1)\hat{\rm j}+(z_2-z_1)\hat{\rm k}$
$=\Delta x\hat{\rm i}+\Delta y\hat{\rm j}+\Delta z\hat{\rm k}$