To find the component form of the vector, we can use the formula:
v = ⟨v_x, v_y⟩
where v_x is the horizontal component and v_y is the vertical component.
The magnitude of the vector is given as 25 and the direction angle θ is given as 30°. We can use trigonometry to find the horizontal and vertical components.
The horizontal component can be found using the formula:
v_x = v * cos(θ)
Substituting the given values:
v_x = 25 * cos(30°)
Using a calculator:
v_x ≈ 21.7
The vertical component can be found using the formula:
v_y = v * sin(θ)
Substituting the given values:
v_y = 25 * sin(30°)
Using a calculator:
v_y ≈ 12.5
Therefore, the component form of the vector is approximately ⟨21.7, 12.5⟩.
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 25, direction angle θ = 30°
1 answer
1 answer