Multiply a vector by a scalar.
Number and Quantity
Vector and Matrix Quantities
Perform operations on vectors.
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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(𝑣 subscript ₓ, 𝑣 subscript 𝑦) = (𝑐𝑣 subscript ₓ, 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).