Find the x - and y-components of the vector d⃗ = (9.0 km, 35 ∘ left of + y-axis).

Question

Mathematics

Mirabel

31 December, 19:26

Find the x - and y-components of the vector d⃗ = (9.0 km, 35 ∘ left of + y-axis).

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Jovanni Mccarthy · Answer 1

To find the answer, first you must convert the 35 degrees left of the Y-axis into the proper angle, which would be 125 degrees (The Y-axis is 90 degrees, so 35 degrees to the left of that would be 125 degrees). Next, you must find the sine and cosine of the vector, which will give you the Y and X components respectively. To get the Y component, it would be sin (125 degrees) = Y / 9 = 7.37 Km. To get the X component, it would be cos (125 degrees) = X / 9 = - 5.16 km. So, the components of the vector are x = - 5.16 and y = 7.37.