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Let V and W Be Vectors Which Are Both Perpendicular ⟨1,3,−1⟩\langle 1,3 , - 1 \rangle

Question 172

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Let v and w be vectors which are both perpendicular to ⟨1,3,−1⟩\langle 1,3 , - 1 \rangle . Assuming that ⟨0,−2,1⟩\langle 0 , - 2,1 \rangle = av + bw + c ⟨1,3,−1⟩\langle 1,3 , - 1 \rangle , find c.

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