Two vectors having equal magnitude of 10 unit, have an angle of 60° between them. Find the magnitude of their resultant vector.

Sure, here is the step by step solution:

Step 1: Identify the given values. The magnitude of both vectors is 10 units and the angle between them is 60°.

Step 2: Use the formula for the magnitude of the resultant vector when two vectors are given. The formula is:

R = √(a² + b² + 2abcosθ)

where a and b are the magnitudes of the vectors and θ is the angle between them.

Step 3: Substitute the given values into the formula:

R = √((10)² + (10)² + 21010*cos60°)

Step 4: Calculate the value inside the square root:

R = √(100 + 100 + 200*0.5)

Step 5: Simplify the expression:

R = √(200 + 100)

Step 6: Calculate the square root:

R = √300

Step 7: Simplify the square root:

R = 10√3 units

So, the magnitude of the resultant vector is 10√3 units.