Which quantity refers to the sense and slope of angles with respect to reference axes?

Which quantity refers to the sense and slope of angles with respect to reference axes?

• A. Magnitude
• B. Direction
• C. Mass
• D. Force

Answer: (B)

Direction is the quantity that captures where a vector is pointing, including the sense and how it tilts relative to the reference axes. If you describe a vector by the angle it makes with the x-axis, that angle (and the sign of the slope dy/dx) tells you which way the vector lies and in which quadrant its orientation lies. The slope, given by tan(theta) = dy/dx, encodes how steep the vector is relative to the horizontal axis, mapping out the exact orientation in the plane. Magnitude tells you how long the vector is but not where it points, and mass is a scalar with no direction. Force does have direction, but when we talk about the orientation itself—the sense and angular relation to the axes—the name for that quantity is direction.

Direction is the quantity that captures where a vector is pointing, including the sense and how it tilts relative to the reference axes. If you describe a vector by the angle it makes with the x-axis, that angle (and the sign of the slope dy/dx) tells you which way the vector lies and in which quadrant its orientation lies. The slope, given by tan(theta) = dy/dx, encodes how steep the vector is relative to the horizontal axis, mapping out the exact orientation in the plane. Magnitude tells you how long the vector is but not where it points, and mass is a scalar with no direction. Force does have direction, but when we talk about the orientation itself—the sense and angular relation to the axes—the name for that quantity is direction.