Final answer:
The Pythagorean theorem can be used for vectors at right angles, a single vector can form the shape of a right angle triangle with its components, electric field lines from a positive point charge radiate outward, and a position vs time graph for an accelerating object is not a straight line but a curve.
Step-by-step explanation:
Understanding Vector Dimensions and Electric Fields in Physics
When working with vectors, it is true that the Pythagorean theorem can be used to calculate the length of the resultant vector obtained from the addition of two vectors which are at right angles to each other. Furthermore, a vector can indeed form the shape of a right angle triangle with its x and y components, making this statement true as well.
Regarding electric fields, it is true that the electric field lines from a positive point charge spread out radially and point outward. This can be visualized as lines emanating from a central point, similar to how light rays might spread out from a lamp.
Lastly, the statement that the position vs time graph of an object that is speeding up is a straight line is false. A position vs time graph for an object that is speeding up would typically show a curve that gets steeper over time, indicating that the velocity is increasing and thus the slope of the graph (which equals the velocity) is also increasing.