All provided statements are true, affirming that transposing an array changes rows to columns, the Pythagorean theorem applies to vectors at right angles, vectors can form right angle triangles, and that constructive and destructive are the two types of wave interference.
The statement 'Another way to construct a column array is to construct and then transpose a row array. The transpose of an array turns rows into columns' is True. Similarly, for the questions presented:
- We can indeed use the Pythagorean theorem to calculate the length of the resultant vector from two vectors at right angles, making the statement True.
- A vector can form the shape of a right angle triangle with its x and y components, which is also True.
- The two types of interference in wave mechanics are indeed constructive and destructive interference, so that statement is True as well.
So, all statements discussed are true and demonstrate principles of vector addition, the Pythagorean theorem in vector calculation, and the understanding of wave interference.