2. Find the distance between the line with parametric equations ï = 1 + 2t, y = −2+ 4t, z = 4 − 4t and the x-axis in R³. 3. Let Q be the midpoint of the line segement joining the points P₁ and P2 in R³. Is the line perpendicular to P₁ P2 through Q is uniquely determined? Explain your answer.

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Q: The parametric equations for a line L₁ are as follows: x=-4+6t y=3-4t z = 1+4t Let L₂ be the line…

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Q: For planes 2x + y – z = 2 and 2x + 3y + 5z = 4,

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-4, 0,…

A: This question is based on finding an equation of line as given that line is parallel to given line…

Q: Use t = 4x + 1 to write the parametric equations that can represent y = 12x + 5. Ox-y=31-2 Ox-4:…

A: Given that:t=4x+1To find parametric equation for y=12x+5

Q: Find the parametric equations of the line perpendicular to l1 and l2 that contains the point (-1.…

A: We have to find equation of a line which is passes through the point (-1,-1,-1) and Perpendicular to…

Q: The parametric equations for a line L₁ are as follows: x=-5-6t y = 1+6t Z=-2-4t Let L2 be the line…

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Q: Find the parametric equations of the line segment joining the points ?(−2,0,2) and Q(0,2,0). Note:…

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Q: Find parametric equations for the line of slope 6 that passes through the point (7,9). (Use t as…

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Q: Determine whether the lines L, and L, are parallel, skew, or intersecting. y - 1 z -2 5 z + 8 %3!…

A: given that x1=y-14=z-25=t therefore,  x=ty=4t+1z=5t+2 therefore , z=5t+2