Find the components of the vector with length = 1.00 and angle 30.0 as shown.
it is not clear from where the angle is measured.
To find the components of a vector with a given length and angle, you can use trigonometry. Let's assume the vector is represented as V = (Vx, Vy), where Vx is the horizontal component and Vy is the vertical component.
Given the length of the vector, which is 1.00, we can use the trigonometric relationship:
cos(angle) = adjacent/hypotenuse
Since the length of the vector is the hypotenuse, we can write:
cos(30.0) = Vx/1.00
To find Vx, we need to solve for it:
Vx = cos(30.0) * 1.00
Similarly, we can use the trigonometric relationship:
sin(angle) = opposite/hypotenuse
So,
sin(30.0) = Vy/1.00
To find Vy, we need to solve for it:
Vy = sin(30.0) * 1.00
Calculating these values:
Vx = cos(30.0) * 1.00 = 0.866
Vy = sin(30.0) * 1.00 = 0.500
Therefore, the components of the vector with a length of 1.00 and an angle of 30.0 are:
Vx = 0.866
Vy = 0.500