<p>The given vectors form the legs of a right triangle with one vector pointing East with a magnitude of \( 24.0 \, m \) and the other pointing North with a magnitude of \( 14.0 \, m \).</p> <p>Using the equation for the magnitude of the resultant vector \( c = \sqrt{a^2 + b^2} \), where \( a \) and \( b \) are the magnitudes of the individual vectors:</p> <p>\( c = \sqrt{(24.0 \, m)^2 + (14.0 \, m)^2} \)</p> <p>\( c = \sqrt{576.0 \, m^2 + 196.0 \, m^2} \)</p> <p>\( c = \sqrt{772.0 \, m^2} \)</p> <p>\( c \approx 27.8 \, m \)</p> <p>The magnitude of the resultant vector is approximately \( 27.8 \, m \).</p>
The image appears to show a segment of a coordinate plane with two vectors and their magnitudes labeled. One vector has a magnitude of 107 units, and the other has a magnitude of 100 units. It seems that there is also a question or prompt associated with this diagram, but the question itself is not visible in the provided image. Without the actual question, I cannot provide a precise answer. If you can provide the text of the question or specify the information you are seeking, such as how to find a resultant vector or another vector-related query, I would be able to assist you accordingly.
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