Vector Magnitude as Dot Product of Self

Explanations 2

• So, given a vector v⃗\vec{v}v with coordinates (a,b)(a, b)(a,b), its magnitudemagnitudemagnitude, or length, is a2+b2\sqrt{a^2+b^2}a2+b2​, just like in the Pythagorean Theorem.

  By Freya Edholm

• Magnitudes and dot products Magnitude of a vector in Rn\mathbb{R}^nRn Consider a vector v⃗=(v1)∈R1\vec{v}=(v_1) \in \mathbb{R}^1v=(v1​)∈R1. We define its magnitude to be ∣v1∣\le…

  By Andrew Machkasov