Two positions on the Earth’s surface are given in the form of Cartesian coordinates in the WGS84 reference frame and ellipsoid. The norm of difference of these two position vectors is the ____________
Two positions on the Earth’s surface are given in the form of Cartesian coordinates in the WGS84 reference frame and ellipsoid. The norm of difference of these two position vectors is the ____________
Show Hint
- spherical distance
- ellipsoidal distance
- Euclidean distance
- planar distance
The Correct Option is C
Solution and Explanation
\[ \| \vec{r_1} - \vec{r_2} \| = \sqrt{(X_1 - X_2)^2 + (Y_1 - Y_2)^2 + (Z_1 - Z_2)^2} \] This is the Euclidean distance between the two points in 3D space. It does not represent the actual curved path over the Earth's surface (spherical or ellipsoidal distance), but rather the straight-line 3D distance through space.
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