A vector is 100 units long and makes an angle of 50 degrees with the positive x-axis. find the x and y components of this vector.

Vx= 100cos50= 64

Vy=100sin50= 76.6

To find the x and y components of a vector, you can use trigonometry. Since the vector makes an angle of 50 degrees with the positive x-axis, we can use the cosine and sine functions to determine the x and y components, respectively.

The x component (Vx) of the vector can be found using the formula:
Vx = (magnitude of the vector) * cos(angle)

In this case, the magnitude of the vector is given as 100 units, and the angle is 50 degrees, so we have:
Vx = 100 * cos(50°)

To find the y component (Vy) of the vector, we use the formula:
Vy = (magnitude of the vector) * sin(angle)

Using the given values, we have:
Vy = 100 * sin(50°)

Now let's calculate these values:

Vx = 100 * cos(50°)
Vx = 100 * 0.64279
Vx ≈ 64.279

Vy = 100 * sin(50°)
Vy = 100 * 0.76604
Vy ≈ 76.604

Therefore, the x component is approximately 64.279 units, and the y component is approximately 76.604 units.