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(Solved): Can you solve part 2? Vector \( \vec{A} \) has magnitude \( 8.00 \mathrm{~m} \) and is in the \( x ...



Vector \( \vec{A} \) has magnitude \( 8.00 \mathrm{~m} \) and is in the \( x y \)-plane at an angle of \( 127^{\circ} \) counCan you solve part 2?

Vector \( \vec{A} \) has magnitude \( 8.00 \mathrm{~m} \) and is in the \( x y \)-plane at an angle of \( 127^{\circ} \) counterclockwise from the \( +x^{\text {-axis ( }} 37^{\circ} \) past the \( +y^{\text {-axis). The }} \) sum \( \vec{A}+\vec{B} \) is in the \( -y \)-direction and has magnitude \( 12.0 \mathrm{~m} \). What is the magnitude of vector \( \vec{B} \) ? Express your answer with the appropriate units. Part B What is the direction angle of vector \( \vec{B} \) measured counterclockwise from the \( +x \)-axis? Express your answer in degrees.


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To solve for the magnitude of vector B, we can use the fact that the magnitude of the sum of two vectors is equal to the square root of the sum of the
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