How do you find the length of vector (-7, 24)?

To find the length of vector (-7, 24), use the Pythagorean theorem to calculate the magnitude.

The length of a vector, also known as its magnitude, can be found using the Pythagorean theorem. For a vector with components (x, y), the formula to find its length is √(x² + y²). In this case, the vector components are -7 and 24.

First, square each component: (-7)² = 49 and 24² = 576. Next, add these squared values together: 49 + 576 = 625. Finally, take the square root of the sum to find the magnitude: √625 = 25.

So, the length of the vector (-7, 24) is 25. This method works for any two-dimensional vector and is a fundamental concept in vector mathematics.