Question

Which of the following is the magnitude of a = 〈–8, –4〉?

Answer 1

Therefore, the magnitude of a = 〈–8, –4〉 is approximately 8.94 units.

Explanation:

The magnitude of a vector represents its length or size. For a two-dimensional vector in the form of (x, y), the magnitude can be calculated using the Pythagorean theorem:

|a| = √(x² + y²)

In this case, the vector a is (-8, -4). Substituting these values into the formula, we get:

|a| = √(-8)² + (-4)²

|a| = √64 + 16

|a| = √80

|a| ≈ 8.94 (rounded to two decimal places)