Final answer:
In summary, vectors can form right-angle triangles with their components, the Pythagorean theorem can find the length of a resultant vector at right angles, and electric-field lines from a positive charge radiate outward. Other concepts such as wave interference and acceleration graphs were also clarified.
Step-by-step explanation:
The question presented involves geometry and vector analysis, which are key concepts within Mathematics, particularly in the High School curriculum. The original question regarding line BA and line BC, and whether BH bisects angle EBC, cannot be definitively answered without a diagram. Nevertheless, the reference information provided can be addressed.
- True or False: A vector can form the shape of a right-angle triangle with its x and y components. The answer is True.
- True or False: We can use the Pythagorean theorem to calculate the length of the resultant vector obtained from the addition of two vectors which are at right angles to each other. The answer is True.
- True or false: The electric-field lines from a positive point charge spread out radially and point outward. The answer is True.
Additionally, vectors that point in opposite directions do not form a 270° angle; instead, they are considered to be 180° apart. If we know only the angles of two vectors, without their magnitudes, we cannot determine the angle of their resultant vector. The statement regarding amplitudes of waves adding up only if they are on the same line is False; waves can interfere constructively or destructively when they meet, regardless of whether they propagate along the same line. Lastly, the position vs time graph of an object that is speeding up is not a straight line, but a curve, indicating acceleration; therefore, the statement is False.