Q. Calcula el módulo de la resultante.a) 9mb) 3mc) 4md) 92me) 18m
Assumption of Right Angles: We need to find the magnitude of the resultant vector, but the problem doesn't provide the vectors' directions or how they are related to each other. We'll assume they are at right angles to each other since that's a common scenario and we have options like 92m which suggests a Pythagorean relationship.
Pythagorean Theorem: If the vectors are perpendicular, we can use the Pythagorean theorem to find the resultant: R=a2+b2, where a and b are the magnitudes of the two vectors.
Substitute Given Magnitudes: Substitute the given magnitudes into the formula: R=9m2+3m2.
Calculate Squares: Calculate the squares: R=81m2+9m2.
Add Squares: Add the squares: R=90m2.
Simplify Square Root: Simplify the square root: R=9×10m2.
Further Simplify: Further simplify: R=310m.
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