Answer :
Final answer:
The relative position vector from the man's head to the top of the tree is (-259.6, -245.4, 28.8) m.
Explanation:
To find the relative position vector that points from the man's head to the top of the tree, we subtract the coordinates of the man's position from the coordinates of the tree's position. Given the man's head is at (11.6, 282, 13.2) m and the top of the tree is at (-248, 36.6, 42) m, we calculate the difference in each component (x, y, z) separately:
- x-component: -248 - 11.6 = -259.6 m
- y-component: 36.6 - 282 = -245.4 m
- z-component: 42 - 13.2 = 28.8 m
Therefore, the relative position vector from the man's head to the top of the tree is (-259.6, -245.4, 28.8) m.
Final answer:
To obtain the relative position vector that points from the man to the tree, subtract the position coordinates of the man from those of the tree. This calculation should be done component-wise.
Explanation:
The subject of this question is determining the relative position vector of two physical objects: a man standing on the roof of a building and the top of a tree. When asked to find the relative position vector that points from the man's head to the top of the tree, you are essentially being asked to subtract the man's position vector from the tree's position vector.
The components of the relative position vector are obtained by subtracting the x-coordinates, y-coordinates, and z-coordinates of the man's and tree's position vectors.
The x-component of the relative position vector is -248 - 11.6 = -259.6 m. The y-component is 36.6 - 282 = -245.4 m. And the z-component is 42 - 13.2 = 28.8 m. Therefore, the relative position vector from the man's head to the top of the tree is (-259.6, -245.4, 28.8) m.
Both the man's position and the tree's position are given in Cartesian coordinates, so you can subtract them component-wise. In this case, to find the relative position vector, subtract the position of the man from the position of the tree. For the x component, it would be -248 - 11.6. For the y component, 36.6 - 282. For the z component, 42 - 13.2. By doing these calculations, you will get the relative position vector pointing from the man to the tree.
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