Question

The rectangle has sides parallel to the x and y axes. The position vectors of two corners are given as a = 10.0 m at 50.0° and b = 12.0 m at 25.5°. Without making any mistakes, determine the perimeter of the rectangle.

Answer 1

To find the perimeter of the rectangle, we can use the magnitudes of the position vectors a and b. The perimeter is the sum of the lengths of the four sides. We calculate the lengths of the sides by finding the magnitudes of the vectors a and b.

Step-by-step explanation:

To determine the perimeter of the rectangle, we need to find the lengths of the four sides. Given the position vectors of two corners, a and b, we can find the lengths of the sides by finding the magnitudes of the vectors a and b. The perimeter of the rectangle is then the sum of these lengths.

To find the length of a vector, we use the formula |v| = √(v_x^2 + v_y^2), where v_x and v_y are the components of the vector along the x and y axes, respectively. Therefore, the perimeter of the rectangle is the sum of the magnitudes of a and b, which can be found using the given position vectors.

Once we have the lengths of the sides, we add them together to find the perimeter of the rectangle.

Learn more about Perimeter of a rectangle