The symmetric equations of the line passing through the point ( 7 , โˆ’ 1 , โˆ’ 4 ) and parallel to the line ๐‘ฅ = โˆ’ 3 + 7 ๐‘ก , ๐‘ฆ = 6 โˆ’ ๐‘ก , ๐‘ง = 4 โˆ’ 3 ๐‘ก ย are: Hint: The equation of the line passing through ( ๐‘ฅ 0 , ๐‘ฆ 0 , ๐‘ง 0 ) and parallel to the vector ๐‘ฃ _ = โŸจ ๐‘Ž , ๐‘ , ๐‘ โŸฉ : Parametric Form: ย  ๐‘ฅ = ๐‘ฅ 0 + ๐‘Ž ๐‘ก , ๐‘ฆ = ๐‘ฆ 0 + ๐‘ ๐‘ก , ๐‘ง = ๐‘ง 0 + ๐‘ ๐‘ก . Symmetric Form: ย  ๐‘ฅ โˆ’ ๐‘ฅ 0 ๐‘Ž = ๐‘ฆ โˆ’ ๐‘ฆ 0 ๐‘ = ๐‘ง โˆ’ ๐‘ง 0 ๐‘ .Single choice

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