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Can a vector be zero if one of its component is not zero?
No, for a vector to be zero, all of its components must be zero. If only one component is not zero, then the vector itself cannot be zero.
Can a vector have zero magnitude if one of its component is not zero?
No, a vector cannot have zero magnitude if one of its components is not zero. The magnitude of a vector is determined by the combination of all its components, so if any component is not zero, the vector will have a non-zero magnitude.
Can the component of a non-zero vector be zero?
Yes, the component of a non-zero vector can be zero. A non-zero vector can have one or more components equal to zero while still having a non-zero magnitude overall. For example, in a two-dimensional space, the vector (0, 5) has a zero component in the x-direction but is still a non-zero vector since its y-component is non-zero.
When can a nonzero vector have a zero horizontal component?
When the direction of the vector is vertical. Gravitational force has zero horizontal component.
Can a vector have zero magnitudes if one of its component is not zero?
No. The magnitude of a vector can't be less than any component.
Can a vector be zero if one of its component is zero?
No never
If one of the rectangular component of a vector is not zero can its magnitude be zero?
No.
Can a vector have zero magnitude if one of its component is non zero?
No.
Can the magnitude of a vector be equal to one of its components?
Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.
Can a vector with a non zero component be zero?
No. The answer does assume that "components" are defined in the usual sense - that is, a decomposition of the vector along a set of orthogonal axes.
If the component of vector A along the direction of vector B is zero. What can you conclude about these two vectors?
Their directions are perpendicular.
Can a vector have zero component along a line and still have non-zero magnitude?
Yes, if it has a non-zero component along some other line - usually, but not necessarily orthogonal.
