ID: Class: 12 Subject: Math Topic: Vector Algebra Type: Very short (VSA) Year: 2024

Question:

Let \(\vec{a}\) and \(\vec{b}\) be two non-zero vectors. Prove that \(|\vec{a}\times\vec{b}|\le|\vec{a}||\vec{b}|\). State the condition under which equality holds, i.e., \(|\vec{a}\times\vec{b}|=|\vec{a}||\vec{b}|\)