Author note — to cover

Multiply column and letter vectors by scalars, fractions and negatives included: the length scales while the direction holds or reverses, and expressions like 2a minus 3b are evaluated componentwise. The geometric consequence — scalar multiple means parallel — is developed on the Higher Parallel vectors page. Both tiers. (G25)

• Fluency — direct questions on scalar multiples of a vector, limited to this lesson's stated scope (4 questions).
• Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
• Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).