Scelta multipla
Which of the following quantities are vectors?
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2. 1D Motion / Kinematics
Vectors, Scalars, & Displacement
Scelta multipla
Given two vectors and shown in Figure 1, what is the angle between them if points along the positive -axis and points along the positive -axis?
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Guida verificata passo dopo passo1
Identify the directions of the two vectors: vector \( \vec{e} \) points along the positive x-axis, and vector \( \vec{f} \) points along the positive y-axis.
Recall that the positive x-axis and positive y-axis are perpendicular to each other in a standard Cartesian coordinate system.
Use the definition of the angle \( \theta \) between two vectors, which can be found using the dot product formula:
\[ \vec{e} \cdot \vec{f} = |\vec{e}| |\vec{f}| \cos(\theta) \]
Since \( \vec{e} \) and \( \vec{f} \) are along the x and y axes respectively, their dot product is zero because they have no components in common, implying
\[ \cos(\theta) = 0 \]
Solve for \( \theta \) by taking the inverse cosine of zero, which corresponds to the angle between the two vectors.
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