a vector of magnitude 5 units makes an angle 120 degree with +ve x-axis in anticlockwise direction given vector is
Incomplete.
Pls answer this question guys i need it
To find the components of the given vector, we can use trigonometry.
First, let's consider a coordinate system where the positive x-axis is to the right, and the positive y-axis is pointing upwards. The vector with magnitude 5 units making an angle of 120 degrees in the counterclockwise direction with the positive x-axis can be represented as follows:
Let's call the vector V, and its components (Vx, Vy).
To find the x-component (Vx), we can use the cosine function:
Vx = V * cos(θ)
where V is the magnitude of the vector (5 units) and θ is the angle between the vector and the x-axis (120 degrees).
Substituting the given values, we get:
Vx = 5 * cos(120)
To find the y-component (Vy), we can use the sine function:
Vy = V * sin(θ)
Substituting the given values, we get:
Vy = 5 * sin(120)
Simplifying these equations, we have:
Vx = -2.5
Vy = 4.33
Therefore, the vector V can be represented as V = (-2.5, 4.33) units.