Question

The Vectors U=⟨1,−2,1⟩,V=⟨3,0,−2⟩ And W=⟨5,−4,0⟩ Are:
A) Coplanar
B) Not Coplanar

Answer 1

The vectors U=⟨1,−2,1⟩, V=⟨3,0,−2⟩, and W=⟨5,−4,0⟩ are coplanar.

Step-by-step explanation:

The vectors U=⟨1,−2,1⟩, V=⟨3,0,−2⟩, and W=⟨5,−4,0⟩ can be considered as coordinates in three-dimensional space. To determine if they are coplanar, we can check if one vector can be expressed as a linear combination of the other two.

Let's take vector U as an example. We can express U as a linear combination of V and W by multiplying V by -2 and adding it to W.

Therefore, the vectors U,V, and W are coplanar.