Math  /  Geometry

QuestionCalcula la magnitud de un vector con x=3x=3 y y=2y=2. Opciones: a. 5 b. 3.6 c. 6 d. 1

Studdy Solution
Assumptions1. The x-component of the vector is3. The y-component of the vector isThe magnitude of a vector is given by the square root of the sum of the squares of its components.
Magnitude = \sqrt{x^ + y^}3Now, plug in the given values for the x-component and y-component to calculate the magnitude.
Magnitude = \sqrt{3^ +^}4Calculate the squares of the components.
Magnitude=9+4Magnitude = \sqrt{9 +4}5Add the squares of the components.
Magnitude=13Magnitude = \sqrt{13}6Calculate the square root of13.
Magnitude=133.6Magnitude = \sqrt{13} \approx3.6The magnitude of the vector is approximately3.6.

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