The vectors … form a triangle if
The vectors form a triangle if . The triangle inequality says that any one side length is less than ______. The proof comes from Schwarz:
|\mathbf{A}+\mathbf{B}|^2=\mathbf{A}\cdot\mathbf{A}+2\mathbf{A}\cdot\mathbf{B}+\mathbf{B}\cdot\mathbf{B}\le|\mathbf{A}|^2+\text{______}+|\mathbf{B}|^2=(|\mathbf{A}|+|\mathbf{B}|)^2.
Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §11.1 Vectors and Dot Products, #42
No hints for this one.
Check your full solution
Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.
Your first check today doesn't need an account.
Your photos and PDFs are read once and not stored — only the transcription is kept.