Question

Suppose v⇀ is a vector with initial point (3,− 4) and terminal point (− 4,2). Write v⇀ as a linear combination of the standard unit vectors i⇀= ⟨1,0⟩ and j⇀= ⟨0,1

Answer 1

Standard vector is of the form ai+bj

v⇀ = (-4-3)i + (2- -4)j

v⇀ = - 7i + 6j