Final answer:
Electric field lines from a positive point charge do spread out radially and point outward, making the statement true. Additionally, a vector can indeed form a right-angle triangle with its x and y components, which is also true.
Step-by-step explanation:
The true or false question on whether the electric-field lines from a positive point charge spread out radially and point outward is true. This concept is fundamental in understanding electric fields in physics. Electric field lines are a visual representation used to illustrate the direction and strength of the electric field surrounding a charged object. For a positive point charge, the electric field lines do indeed radiate outward in all directions, resembling the pattern of rays spreading out from the sun. This pattern indicates that the electric field vector at any point in space points directly away from the charge, which is characteristic of a positive charge.
Concerning the question on vectors, it is also true that a vector can form the shape of a right angle triangle with its x and y components. When a vector is resolved into its components along the x and y axes, these components can be represented as the adjacent and opposite sides of a right angle triangle, with the vector itself being the hypotenuse. This decomposition is particularly useful when analyzing vector quantities in physics and engineering, as it simplifies calculations involving vector addition, subtraction, and finding the magnitude and direction of resultant vectors.