Question

Find the x - and y -components of the vector d⃗ = (2.0 km , 29 ∘ left of y -axis).

Answer 1

The x-component of the vector d⃗ is approximately 1.77 km and the y-component is approximately 1.00 km.

Step-by-step explanation:

To find the x- and y-components of the vector d⃗ = (2.0 km , 29 ∘ left of y -axis), we can use trigonometry. The x-component can be found using the formula Dx = |d| * cos(angle), and the y-component can be found using the formula Dy = |d| * sin(angle). In this case, the magnitude |d| is 2.0 km and the angle is 29° left of the y-axis. Plugging in these values into the formulas will give us the x- and y-components of the vector.

Using the formulas:

• Dx = 2.0 km * cos(29°)
• Dy = 2.0 km * sin(29°)

we can calculate:

• Dx ≈ 1.77 km
• Dy ≈ 1.00 km

Therefore, the x-component of the vector d⃗ is approximately 1.77 km and the y-component is approximately 1.00 km.