Final answer:
The absolute value of any complex number is the distance from the point on the complex plane to the origin point (0,0). This can be calculated using the Pythagorean theorem.
Step-by-step explanation:
The statement is a) True.
The absolute value of a complex number is the distance from its corresponding point on the complex plane to the origin point (0,0). In other words, it represents the length of the vector that connects the point to the origin. This can be calculated using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
For a complex number a + bi, the length of its corresponding vector is given by √(a² + b²), which is essentially the same as the formula for finding the distance between two points in a Cartesian coordinate system.