1. Determine parametric equations of the line that simultaneously satisfies the following: contains the point (2,-1,4) parallel to the plane with equation 2x 2y-4 z+5=0, and perpendicular to the line with equations 3 - x = and z 5 = 0. 3

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A: Stepwise explanation is given below Explanation:

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A: As per our guidelines, we can solve the first question. Please repost the remaining questions.

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A: (c) 1 + 0i(d) -1 + 0iExplanation:

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Q: (b) Show that the set a 0 U₂ = is a subspace of M2×2 (R). 0 b {[8] : ab € R}

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A: R is only symmetric relation.Explanation:Step 1: Step 2: Step 3: Step 4:

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Q: -1-3 1 0-1 1 4 1 1 1 d. 1 2-3-1 0-2-4-2 1 0 L

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A: Answers along with explanations are provided in the image. Explanation:

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A: 42587​ Option D is correct.  Explanation:

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A: Given  and