Final answer:
A nonzero vector may have a component that is zero, as is exemplified by the vector →V = (3, 0), which is a vector with a nonzero x-component and a zero y-component, meaning it lies along the x-axis.
Step-by-step explanation:
A nonzero vector can indeed have a component that is zero. A vector is defined by its components in a coordinate system, such as the Cartesian coordinate system. For example, a vector in two-dimensional space can be represented by its x- and y-components (x,y).
Let's take the options provided:
- a) →V = (3, 0)
- b) →V = (0, 5)
- c) →V = (6, 0)
- d) →V = (0, 8)
All of these vectors have a nonzero magnitude, but they each have a component that is zero. For instance, the vector →V = (3, 0) has a nonzero x-component of 3, and its y-component is zero. This does not make the vector a null vector. Instead, it simply lies on the x-axis and points in the positive x-direction with a magnitude of 3 units.