Question

A good practice is to always use the dot operators when performing element-wise multiplication, division, and exponentiation.

a) True
b) False

Answer 1

The Pythagorean theorem can be used to calculate the length of the resultant vector obtained from the addition of two vectors at right angles to each other.

Step-by-step explanation:

The statement is true.

The Pythagorean theorem can be used to calculate the length of the resultant vector obtained from the addition of two vectors that are at right angles to each other. According to the theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the magnitudes of the two vectors act as the sides of the right triangle, and the resultant vector acts as the hypotenuse.

Using this theorem, we can find the magnitude of the resultant vector by taking the square root of the sum of the squares of the magnitudes of the two vectors. This holds true regardless of the direction of the vectors.