MathAlgebraLinear algebraVectors and vector spaces

Vector norm and distance between vectors

Theory

Type of norms

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Match each norm to its corresponding definition:

Match the items from left and right columns
Manhattan norm
Absolute value
2-norm
∥x⃗∥=∣x∣\|\vec{x}\| = |x|
∥x⃗∥=∣x1∣+∣x2∣+∣x3∣+⋯+∣xn∣\|\vec{x}\| = |x_1| + |x_2| + |x_3|+\cdots+|x_n|
∥x⃗∥=x12+x22+x32+⋯+xn2\|\vec{x}\| = \sqrt{x_1^2 + x_2^2 + x_3^2+\cdots+x_n^2}
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