Fumio performed the following operations on vectors u, v, and w, where u = ⟨6, –8⟩, v = ⟨1, 2⟩, w = ⟨3, –3⟩ 2u – 3(v + w) 2 ⟨6,

Question

3 years ago

5

Fumio performed the following operations on vectors u, v, and w, where u = ⟨6, –8⟩, v = ⟨1, 2⟩, w = ⟨3, –3⟩ 2u – 3(v + w) 2 ⟨6,

–8⟩ – 3[⟨1, 2⟩ + ⟨3, –3⟩] ⟨12, –8⟩ – 3⟨4, –1⟩ ⟨12, –8⟩ + ⟨–12, 3⟩ ⟨0, –5⟩ What mistake did Fumio make? He did not distribute the 2 to both components of vector u. He added vectors v and w before distributing the –3 to their components. He subtracted vector w from vector v. He did not use the associative property correctly when rearranging the signs.

Mathematics