If A(4,8,12), B(2,4,6), C(3,5,4) and D(5,8,5) are four points, show that the lines AB and CD intersect.

Q: 4. Determine the slope-intercept form of the line from the two points on the line. a) (3, – 1), (-6,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 9. The points (1, 2), (5, A), (A, 7) lie on a straight line. Find all possible values for A.

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Q: What is the equation of a line that is perpendicular to the line y = - x-1 and passes through the…

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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: 1) Explain the four possible relationships between two lines in R. y+2 x+1 y+9 -14 z-4 2) Determine…

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Q: Determine whether the lines h and I, intersect, are parallel, or are skew. 1: n= 4i+3j+ (i-j+6k) 12:…

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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: 2. Diagrom shows the parallel lines DA and BC. a Find the equation of the straight line Bc. b) Find…

A: slope of AD=slope of BC

Q: Determine if lines AB and CD are parallel, perpendicular, or intersecting, given: A(1, 3), B(4, 9)…

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Q: Find the angle between lines AB and AC where the point A(4,4,1), the point B(−4,7,7), and the point…

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Q: Write (3,5, 0) =₁₂, where ₁ is parallel to (3,9, 9) while 2 is perpendicular to (3,9, 9). √₁ = √2 =

A: Step 1: Recall some concepts. Step 2: Given informations and derived some results .Step 3: Find the…

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: Are AB and PQ parallel, and if so, do they paint in the same dırecton? A= (4,4) B= (-S, 2) P= (0,-1)…

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Q: Suppose a line runs through two points: p=(3,2) and Q=(15,8) What the slop of the line

A: Given: A line passes through two points  P = 3, 2Q = 15, 8 To find: The slope of the line.

Q: Determine whether the lines (1,1,1)+ t(1,2,-1), and (3,2,1)+(-1,-5,3) are parallel, intersect, or…

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Q: Are the points (−2, 1), (1, 7), and (4, 14) on the same line? Why

A: We are given three points to check if they are linear or not. Three or more points are said to be…

Q: Determine if the lines ℓ1: x − 9 = −t, y + 4 = 3t, z − 9 = 3t and ℓ2: x − 1 = s, y − 4 = −s, z − 9…

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Q: Given the two points P1 (2,-3,4) and P2(-1,5,-2) on a line, find the line segment joining those…

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Q: Given that A(6,-4), B(-2,6) and C(l,d) are the three points on a straight line, find value of d.

A: Given that A(6,-4), B(-2, 6) and C(1, d) are the three points on a straight line. We have to find…

Q: Is the line that contains the points (8, 5) and (5, 8) parallel to the line that contains the points…

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Q: ow many intersection points are the lines passing through 10 points, 4 of which are linear.

A: To make a line, we need at least 2 points.  In other words, 2 points, when joined in a plane, will…