Question

What is the magnitude of vector [(A)\vec] = (Ax, Ay) = (-10 m, 5 m) ? Submit Answer Tries 0/99 Vector ((A)\vec] = (-9 m, 3 m) and vector [(B)\vec] = (10 m, 6 m). What is the magnitude of vector ((A)\vec]+[(B)\vec]?

Answer 1

The magnitude of vector A is 11.18 m, the magnitude of vector B is 11.66 m, and the magnitude of their sum (A + B) is 11 m.

Step-by-step explanation:

The magnitude of a vector is a value that represents the length or size of the vector. To find the magnitude of a vector, we can use the Pythagorean theorem. For vector A with components (-10 m, 5 m), the magnitude can be calculated as follows:

Magnitude = √(Ax² + Ay²) = √((-10 m)² + (5 m)²) = √(100 m² + 25 m²) = √125 m² = 11.18 m

Similarly, for vector B with components (10 m, 6 m), the magnitude can be calculated as:

Magnitude = √(Bx² + By²) = √((10 m)² + (6 m)²) = √(100 m² + 36 m²) = √136 m² = 11.66 m

To find the magnitude of the sum of these vectors, (A + B), we can calculate:

Magnitude = √((Ax + Bx)² + (Ay + By)²) = √((-10 m + 10 m)² + (5 m + 6 m)²) = √(0² + 11 m²) = √121 m² = 11 m

Learn more about Magnitude of Vectors