According to Lenz's law, the induced current will flow in a direction that opposes the change, so it will be counterclockwise if the magnetic field decreases.

According to the right-hand rule, if you point your thumb in the direction of the current, your fingers curl in the direction of the magnetic field lines, which is counterclockwise.

The direction of the magnetic field around a current-carrying wire is determined by the right-hand rule, which gives a clockwise or counterclockwise direction based on the current's direction.

Using the right-hand rule, if you point your thumb in the direction of the current, your fingers curl in the direction of the magnetic field, which is counterclockwise.

The direction of the magnetic field around a straight conductor carrying current is counterclockwise when viewed from the positive end of the conductor.

The direction of the magnetic field around a straight current-carrying conductor can be determined using the right-hand rule, which indicates that the field lines form concentric circles around the conductor in a counterclockwise direction when viewed from the positive end.

Using the right-hand rule, the magnetic field at the center of the loop is out of the plane.

Using the right-hand rule, if the current flows in a counterclockwise direction, the magnetic field inside the loop points out of the plane.

The magnetic field inside a current-carrying solenoid is directed from the north pole to the south pole of the solenoid.

According to the right-hand rule, the magnetic field lines around a straight conductor carrying current are circular and lie in planes perpendicular to the conductor.

Using the right-hand rule, the thumb points in the direction of current, and the fingers curl in the direction of the magnetic field.

The magnetic field produced by a current-carrying loop at its center is perpendicular to the plane of the loop, following the right-hand rule.

According to the right-hand rule, if you point your thumb in the direction of the current, your fingers curl in the direction of the magnetic field.

The direction of the magnetic field produced by a current-carrying wire is perpendicular to both the wire and the direction of the current.

Using the right-hand rule, the magnetic field direction is counterclockwise around the wire.

The standard form of a parabola is (y - k)^2 = 4p(x - h). Here, p = 2, so the directrix is x = -2.

For the parabola y^2 = 4px, here 4p = 8, so p = 2. The directrix is x = -p = -2.

The discriminant is b² - 4ac = (-12)² - 4*3*12 = 144 - 144 = 0.

The discriminant is b² - 4ac = (-12)² - 4*3*9 = 0.

The distance from the center to a point on the circumference is the radius, which is 8 cm.

The distance from the center to a point on the circumference is the radius, which is 12 cm.

The distance between centers (1, 2) and (-3, -4) is calculated using the distance formula.

The distance between the foci is 6, calculated using the formula 2c where c = √(a^2 - b^2).

The distance between the foci is given by 2c, where c = √(a^2 - b^2) = √(25 - 16) = 3, so the total distance is 2c = 6.

Distance = |d1 - d2| / √(A² + B² + C²) = |5 - 10| / √(2² + 3² + (-1)²) = 5/√14.

Distance = √[(2 - (-1))² + (3 - (-1))²] = √[3² + 4²] = √25 = 5.

Distance = √[(2 - (-1))² + (3 - (-1))²] = √[3² + 4²] = √25 = 5.

Using the distance formula: d = √[(3 - 0)² + (4 - 0)²] = √[9 + 16] = √25 = 5.

Using the distance formula, d = √[(x2 - x1)² + (y2 - y1)²] = √[(4 - 1)² + (5 - 1)²] = √[3² + 4²] = √[9 + 16] = √25 = 5.

Distance = √[(4-1)² + (6-2)²] = √[9 + 16] = √25 = 5.