True or false: Given two nonzero vectors v and w, v can be decomposed into two vectors, one parallel to w and the other orthogonal to w.________

Express the indicated vector w as a linear combination of the given vectors v₁ and v₂ if this is possible. If not, show that it is impossible. W = -7 - 9 - 2 3 5 8 -4 - 3 Select the correct answer below, and fill in the answer box(es) to complete your choice. ) v₁ + ( ) v₂. A. It is possible to express the vector w in terms of v₁ and v₂, as w= (Type integers or fractions.) B. It is impossible to express the vector w in terms of V₁ and V₂, because an echelon form of the augmented matrix [V₁ V₂ W], E= (Type an integer or simplified fraction for each matrix element.) shows that the system is inconsistent.

Express the indicated vector w as a linear combination of the given vectors v1 and v2 if this is possible. If​ not, show that it is impossible. w= (-1,0,7), V1= (7,6,5), v2=(6,5,3) Select the correct answer​ below, and fill in the answer​box(es) to complete your choice. A.It is possible to express the vector w in terms of v1 and v2​, as w=(___)v1+(___)v2. ​(Type integers or​ fractions.) B.It is impossible to express the vector w in terms of v1 and v2​, because an echelon form of the augmented matrix [v1  v2  w]​, E=___?​, shows that the system is inconsistent.