Multiple Choice
Which of the following statements best describes a ?
2. 1D Motion / Kinematics
Vectors, Scalars, & Displacement
Multiple Choice
If a vector lies in the first quadrant of a standard Cartesian coordinate system and motion is along a straight path, which of the following conditions will result in both components of the vector being positive?
A
The vector lies in the third quadrant.
B
The vector points along the negative -axis.
C
The vector points along the negative -axis.
D
The vector points in a direction where both and are increasing.
Verified step by step guidance1
Recall that in a standard Cartesian coordinate system, the first quadrant is defined as the region where both the x-coordinate and y-coordinate are positive.
Understand that a vector lying in the first quadrant means its components along the x-axis and y-axis are both positive values.
Analyze the given options: vectors in the third quadrant have both x and y components negative, vectors along the negative x-axis have a negative x component and zero y component, and vectors along the negative y-axis have a negative y component and zero x component.
Recognize that for both components of a vector to be positive, the vector must point in a direction where both x and y values increase, which corresponds to the first quadrant.
Conclude that the condition 'The vector points in a direction where both x and y are increasing' ensures both components of the vector are positive.
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