Question

Find the x and y-components of the vector d = (3.0 km 330° left of +y-axis). Express your answer using two significant figures. Enter the x and y components of the vector separated by a comma.

Answer 1

The x component of the vector is 2.6 km

The y component of the vector is -1.5 km.

How to calculate the x and y component of the vector?

The x component of the vector is calculated as follows;

dx = d cosθ

where;

• θ is the direction of the vector
• d is the magnitude of the vector

dx = 3 km x cos (330)

dx = 2.6 km

The y component of the vector is calculated as follows;

dy = d sinθ

dy = 3 km x sin (330)

dy = -1.5 km

Thus, the x and y component of the vector d is 2.6 km and - 1.5 km respectively.