The angle formed with the positive x-axis is 120 degrees. We can assume that this angle is determined in a counterclockwise direction from the positive x-axis. The x-component of the vector can be calculated as: x-component = 10 cos(120) = -5. The vector's y-component is determined as: y-component = 10 sin(120) = 8.66. The x-component equates to -5 while the y-component equals 8.66.
Response:

Details:
Utilizing Faraday's Newmann Lenz law enables the assessment of the induced emf within the loop:

where:
represents the change in magnetic flux
symbolizes the change over time.
#The magnetic flux linked to the coil can be represented as:

Where:
N represents the number of loops.
A denotes the area for each loop (
).
B indicates the strength of the magnetic field.
represents the angle between the magnetic field direction and the normal to the loop's area.

=0.0250T/s is indicated as the rate of magnetic field increase.
#Plugging in values into the emf equation:

Thus, the induced emf is 