If $\mathbf { b } = \langle 1,0,1 \rangle$ , $\mathbf { c } = \langle 0 , - 1,1 \rangle$ , and $\mathbf { a } = \langle 2 , - 3 , z \rangle$ , find a value for z which guarantees that a, b, and c are coplanar.

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The Answer of If $\mathbf { b } = \langle 1,0,1 \rangle$ , $\mathbf { c } = \langle 0 , - 1,1 \rangle$ , and $\mathbf { a } = \langle 2 , - 3 , z \rangle$ , find a value for z which guarantees that a, b, and c are coplanar.

If b=⟨1,0,1⟩\mathbf { b } = \langle 1,0,1 \rangleb=⟨1,0,1⟩ c=⟨0,−1,1⟩\mathbf { c } = \langle 0 , - 1,1 \ranglec=⟨0,−1,1⟩

If $\mathbf { b } = \langle 1,0,1 \rangle$ $\mathbf { c } = \langle 0 , - 1,1 \rangle$