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consider the vectors A = (1.2m)x and B = (-3.4m)×. which of these vectors has (a) the greater x component and (b) the greater magnitude

consider the vectors A = (1.2m)x and B = (-3.4m)×. which of these vectors has (a) the-example-1
User Samuh
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1 Answer

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We are given the following two vectors


\begin{gathered} \vec{A}=(1.2\; m)\hat{x}\; \\ \vec{B}=(-3.4\; m)\hat{x}\; \end{gathered}

(a) Greater x component

Vector A (1.2 m) has a greater x component as compared to vector B (-3.4 m) because vector A is positive and vector B is negative.

Vector A has a greater x component

(b) Greater magnitude

Vector B (3.4 m) has a greater magnitude as compared to vector A (1.2 m) because the absolute value of vector B is greater than the absolute value of vector A.


\begin{gathered} |\vec{A}|=|1.2|=1.2\; m \\ |\vec{B}|=|-3.4|=3.4\; m \end{gathered}

Vector B has a greater magnitude.

User Madness
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