Final answer:
Reviewing true/false questions about vectors and their properties with examples is beneficial for understanding. It's true that a vector forms right angle triangles with components, Pythagorean theorem calculates resultant vectors at right angles, and interference types include constructive and destructive. The statement regarding theories turning into laws over time is false as they serve different purposes.
Step-by-step explanation:
To construct a comprehensive understanding of vectors and their properties, practicing through examples is indeed critical. Let's explore the provided true or false statements relating to vectors, as practicing with such examples can enhance students' grasp of the concepts.
Vector Components and Right Angle Triangles
A vector can form the shape of a right angle triangle with its x and y components. This statement is true. In a Cartesian coordinate system, the horizontal and vertical components of a vector can be thought of as the adjacent and opposite sides of a right angle triangle with the vector itself as the hypotenuse.
Pythagorean Theorem and Resultant Vectors
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. Again, this is true. When two vectors are perpendicular, their lengths can be treated as the legs of a right triangle, and the resultant vector's length is the hypotenuse, calculable with the Pythagorean theorem.
Interference Types
The two types of interference are constructive and destructive interferences. This is true. Constructive interference occurs when waves align to increase amplitude, while destructive interference happens when they align in such a way that they cancel each other out.
Theories and Laws in Science
Finally, the statement When a theory has been known for a long time, it becomes a law is false. The truth is that scientific laws and theories serve different purposes; theories explain why phenomena occur, while laws describe the relationships under certain conditions, often mathematically. Longevity doesn't automatically convert a theory into a law.