If a = i + 3j − k, b = 2i + 4j − 2k and c = −i + 2j + 4k, find a number λ such that d = a + b + λc is parallel to the yz-plane

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter34: Maxwell’s Equations And Electromagnetic Waves
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If a = i + 3j − k, b = 2i + 4j − 2k and c = −i + 2j + 4k, find a number λ such that
d = a + b + λc is parallel to the yz-plane.

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