Can the magnitude of a component of a vector be zero if the magnitude of the vector is not zero? Can the magnitude of a vector be zero if one of its component is non-zero?
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No, a vector cannot have zero magnitude if one of its components is not zero. Consider a vector such that its magnitude is: It can be seen from this equation that if any of or is non-zero, the magnitude of vector will also be non-zero
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We define a vector as an object with a length and a direction. .
. With no length, the zero vector is not pointing in any particular direction, so it has an undefined direction. We denote the zero vector with a boldface 0, or if we can't do boldface, with an arrow →0. It behaves essentially like the number 0.
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