Final answer:
True, vectors can form a right-angle triangle with their components; it's false that voltage is the same throughout a wire in a circuit diagram, and a boy pushing a box up a ramp would not necessarily exert exactly 100 N due to various physical factors. Electric-field lines from a positive charge spread outward, which is true.
Step-by-step explanation:
The question posed relates to various concepts in physics, specifically dealing with vectors, electrical circuits, forces, and electric fields. To address each statement:
- Vectors can indeed form the shape of a right-angle triangle with their x and y components, which is a fundamental concept in physics used to resolve vectors into their perpendicular components.
- In electrical circuits, it is false that the voltage is the same at every point in a given wire unless it's an ideal wire with no resistance. In a real scenario, voltage drops can occur across components in the circuit.
- When considering forces on an inclined plane, the statement about the boy pushing the box is false because the force required to push the box up depends on several factors like the angle of the ramp and friction, not just the height and length.
- The electric-field lines from a positive point charge do indeed spread out radially and point outward, making that statement true.
Each of these statements provides insight into the principles governing vectors, electric circuits, mechanics, and electrostatics in physics.