Question

If the x and y vectors components of vector A 21 and 4.0 respectively, what is the magnitude of the vector A?

Answer 1

The magnitude of vector A is approximately 21.38.

The magnitude of a vector is determined using the Pythagorean theorem. In this case, the x-component of the vector is 21 and the y-component is 4.0. To find the magnitude, we can use the equation:

magnitude = sqrt(x^2 + y^2)

Plugging in the values, we get:

magnitude = sqrt(21^2 + 4.0^2) = sqrt(441 + 16) = sqrt(457) ≈ 21.38

Therefore, the magnitude of the vector A is approximately 21.38.