**Calculating the Components of Vectors A and B**

To find the resultant of vectors A and B, we first need to calculate their components. Since vector A is inclined at an angle of 30 degrees to the X-axis, we can break it down into its X and Y components.

The magnitude of vector A is given as 10 units, and the angle it makes with the X-axis is 30 degrees.

Using trigonometry, we can calculate the X component of vector A as follows:
Ax = A * cos(θ)
= 10 * cos(30)
= 10 * 0.866
= 8.66 units

Similarly, the Y component of vector A can be calculated as:
Ay = A * sin(θ)
= 10 * sin(30)
= 10 * 0.5
= 5 units

Now, let's calculate the components of vector B. The magnitude of vector B is also 10 units, and it is inclined at an angle of 60 degrees to the X-axis.

Using the same trigonometric formulas, we can find the X and Y components of vector B:
Bx = B * cos(θ)
= 10 * cos(60)
= 10 * 0.5
= 5 units

By = B * sin(θ)
= 10 * sin(60)
= 10 * 0.866
= 8.66 units

**Calculating the Resultant Vector**

Once we have the components of vectors A and B, we can find the resultant vector by adding their respective components. The resultant vector (R) can be calculated as follows:

Rx = Ax + Bx
= 8.66 + 5
= 13.66 units

Ry = Ay + By
= 5 + 8.66
= 13.66 units

Therefore, the resultant vector R has components Rx = 13.66 units and Ry = 13.66 units.

**Finding the Magnitude and Direction of the Resultant Vector**

To find the magnitude of the resultant vector, we can use the Pythagorean theorem:
|R| = sqrt(Rx^2 + Ry^2)
= sqrt((13.66)^2 + (13.66)^2)
= sqrt(373.5556 + 373.5556)
= sqrt(747.1112)
≈ 27.32 units

To find the direction of the resultant vector, we can use trigonometry. The angle (θ) between the resultant vector and the X-axis can be found as follows:
θ = tan^(-1)(Ry / Rx)
= tan^(-1)(13.66 / 13.66)
= tan^(-1)(1)
≈ 45 degrees

Therefore, the resultant vector R has a magnitude of approximately 27.32 units and is inclined at an angle of approximately 45 degrees to the X-axis.

Resultant will be at 45'from x axis and with magnitude √(100+100+100√3) i.e. 19.31