Multiply a vector by a scalar.
High School—Number and Quantity
Vector and Matrix Quantities
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Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as 𝘤(𝘷ₓ, 𝘷 subscript 𝘺) = (𝘤𝘷ₓ, 𝘤𝘷 subscript 𝘺).
Compute the magnitude of a scalar multiple 𝘤𝙫 using ||𝘤𝙫|| = |𝘤|𝙫. Compute the direction of 𝘤𝙫 knowing that when |𝘤|𝙫 ≠ 0, the direction of 𝘤𝙫 is either along 𝙫 (for 𝘤 > 0) or against 𝙫 (for 𝘤 < 0).