If possible, write the vector w as a linear combination of the vectors V₁, V2, ..., Vk. If it is not possible, state the reason for that. a) w = (1,1,5), v₁ = (7,7,7), v₂ = (2,5, 3), v3 = (4,1,-1) b) w = (2,-3,2,-3), v₁ = (1,0,0,3), v₂ = (0,1, -2,0), v3 = (0,-1,1,1)

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.