ID: Class: 12 Subject: Math Topic: Vector Algebra Type: Very short (VSA) Year: 2025

Question:

Let \(\vec{a}\), \(\vec{b}\), \(\vec{c}\) be three vectors such that \(\vec{a}\cdot\vec{b}=\vec{a}\cdot\vec{c}\) and \(\vec{a}\times\vec{b}=\vec{a}\times\vec{c}\), \(\vec{a}\ne0\). Show that \(\vec{b}=\vec{c}\).