Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in each figure. Round answers to the nearest tenth.
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Key Concepts

Parallelogram Rule

The parallelogram rule is a method used to determine the resultant vector when two vectors are acting simultaneously. It states that if two vectors are represented as two adjacent sides of a parallelogram, the diagonal of the parallelogram represents the resultant vector in both magnitude and direction. This rule is particularly useful in physics and engineering for analyzing forces and motion.

Vector Magnitude

The magnitude of a vector is a measure of its length or size, often represented as a non-negative number. In the context of forces, the magnitude indicates the strength of the force being applied. To calculate the magnitude of a resultant vector, one typically uses the Pythagorean theorem when the vectors are perpendicular, or other trigonometric methods when they are not.

Rounding Numbers

Rounding numbers is the process of adjusting a number to a specified degree of accuracy, often to simplify calculations or present results clearly. In this context, rounding to the nearest tenth means adjusting the resultant force's magnitude to one decimal place. This is important for reporting results in a standardized format, making them easier to interpret and compare.