The magnitude of vector is 18.0 units and points in the direction 345° counterclockwise from the positive x-axis. Calculate the x- and y-components of this vector.
x= 18∙cos 15°
y= 18∙sin15°
To calculate the x- and y-components of a vector, we can use trigonometry.
Given that the magnitude of the vector is 18.0 units and it points in the direction 345° counterclockwise from the positive x-axis, we can start by finding the x-component.
The x-component of a vector can be calculated using the formula: x = magnitude * cos(angle).
Let's substitute the values into the formula:
x = 18.0 * cos(345°)
Next, we find the y-component of the vector.
The y-component can be calculated using the formula: y = magnitude * sin(angle).
Let's substitute the values into the formula:
y = 18.0 * sin(345°)
After calculating these values, we can determine the x- and y-components of the vector.