How to Find the Linear Combination of Vectors in Component Form | Trigonometry | Study.com

Linear Combination | Definition, Methods & Examples

Linear Dependence & Independence | Overview & Examples

Linear independence A pair of nonzero vectors in the plane is linearly dependent if one vector is a scalar multiple of the other. Otherwise, the pair is linearly independent. a. Which pairs of the following vectors are linearly dependent and which are linearly independent: 𝐮=⟨2,-3⟩𝐯=⟨-12,18⟩, and 𝐰=⟨4,6⟩? b. Geometrically, what does it mean for a pair of nonzero vectors in the plane to be linearly dependent? Linearly independent? c. Prove that if a pair of vectors 𝐮 and 𝐯 is linearly indepe

Linear Independence Definition, Proof & Examples