Mathematics for IGCSE & O level - Vectors (Section 2 - No. 17)
If \(\vec{u} = 4\vec{v}\), which statement is ALWAYS true?
\(\vec{u}\) and \(\vec{v}\) are perpendicular.
\(\vec{u}\) and \(\vec{v}\) have the same direction.
The magnitude of \(\vec{u}\) is the same as the magnitude of \(\vec{v}\).
\(\vec{u} = \vec{0}\) and \(\vec{v} = \vec{0}\)
Explanation
Multiplying a vector by a positive scalar maintains the direction.
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