Question

Find the direction and magnitude of vector aƒ— and vector bƒ—. Vector aƒ— points in the negative y direction and has a magnitude of 14 units. Vector bƒ— has twice the magnitude of vector aƒ— and points in the positive x direction.

Answer 1

Vector a points in the negative y direction and has a magnitude of 14 units. Vector b has twice the magnitude of vector a and points in the positive x direction.

Step-by-step explanation:

Vector a has a magnitude of 14 units and points in the negative y direction. Vector b has twice the magnitude of vector a and points in the positive x direction.

To find the direction of vector a, we know it points in the negative y direction. To find the magnitude of vector a, we use the given information of 14 units.

For vector b, we know it has twice the magnitude of vector a, so the magnitude of vector b is 2 times 14, which is 28 units. The direction of vector b is in the positive x direction.