1. Determine whether or not the line through the points P., Pa is parallel to the line through the points Q₁, Q₂. Qu † (0,0,0), (1,2,3); (-2,3,4), (1,2) 2. Sketch the Indicated line a through the origin, with direction numbers 1,2,3 Through the ongin, with direction numbers 2, 5, 4 C. Through (1,2,3) with direction numbers 4,2,1 d. Through (0,1,0) with direction numbers 1,1,1 C. Through (4,2,2) with direction numbers -111

Q: a. 7 = (3, 1) + (-3, 5), te R b. x = -6 + 2s and y = 3 - 2s, se R Two lines L₁ = (5, 3) + p(-4, 7),…

A: The given lines are:L1​:  r=⟨5,3⟩+p⟨−4,7⟩,    p∈RL2​:  r=⟨5,3⟩+q⟨2,1⟩,    q∈R Both lines intersect…

Q: Determine if the following lines are parallel, perpendicular, or neither. Perpendicular Neither.…

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Q: Find the equation of the line joining the points (2, 3) and (4, 7) . Find the equation of the line…

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Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

A: Three points will lie on same line if slope of any two point is same as other two points, taken two…

Q: 3. Write the equation of a line that is perpendicular and passes through the midpoint of AB with…

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Q: 5. Two lines, I and m, are graphed on the coordinate plane below. a. Prove if they are parallel or…

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Q: determine if the two lines are parallel, orthogonal or neither. n) The line by i=(4– 7t,-10+5t,21–…

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Q: If line 3x-ay-1=0 then find the values of a. is parallel to the line (a +2) x-y+3=0

A: Given that the line is parallel to the line .We have to find the value of a .

Q: Match each line with a perpendicular line. A. y = 5x +2 1. the line through (2, 12) and (17, 9) В.…

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Q: Let A be the point with coordinates (-3, 2, -1) and let B be the point with coordinates (2, 0, 0).…

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Q: What is the equation for the line perpendicular to the line represented by the equation y = x- 2…

A: We have to check

Q: The line that is perpendicular to the lines r = ⟨4t, 1 + 2t, 3t⟩ and R = ⟨-1 + s, -7 + 2s, -12 +…

A: The given lines r→=j^+t4i^+2j^+3k^R→=-i^-7j^-12k^+si^+2j^+3k^ Let,  4i^+2j^+3k^=b1→i^+2j^+3k^=b2→ As…

Q: Which of the following lines passes through (-4,3) and is parallel to 6x-8y=16 ? A. 3x+4y= -24 B.…

A: Given question:- Which of the following lines passes through (-4,3) and is parallel to 6x-8y=16 ?

Q: 4. Find the equation of line 4 that is parallel to v=-i+3j+2k and goes through the point (-6,20,1).…

A: Answer is mentioned below

Q: Find the equation of a line through the coordinate (3,- 2) and parallel to the line represented y =

A: y = (1/2)x -2   ...i Equation of line parallel to ....i is  y= (1/2)x + c ( where c is constant) If…

Q: 6. A line segment has endpoints at 4(-1, -8) and B(5, -4). Which of the following are the…

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Q: Parallel to the line given?...and through the point (3,5)

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Q: 3 and PQ parallel, and if so, do they point in the same direction? 5,2), B = (6,3), P = (-4,4), Q =…

A: Given query is to find lines are parallel or not.