3) Determine the point(s) of intersection of the lines L₁: (3,1,5) + s(4,-1,2) and L₂: x = 4 + 13t, y = 1 - 5t, z = 5t, if any. Are these lines, parallel, skewed, coincident or neither?

Q: Are the lines 3x-2y=3 and 6x-4y=10 parallel, perpendicular or neither? If applicable, find the point…

A: The parallel line do not intersect.If two line have the same slope, then the lines are parallel.

Q: Find the equation of the line which joins the intersection of the lines 2x + 3y - 5z = 0 and x- 2y…

A:

Q: Are the lines y = 2x + 1 and y = −2x − 4 perpendicular?

A:

Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: Find the point where the two lines +s and +t intersect, if it exists

A: We need to find point where lines intersect.

Q: e point (-2, 2) and perpendicular to the line 3x+12y =-2.

A:

Q: h is a line with equation y=-3x+5 a) (K,0) is another point on this line. Find the value of K

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Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x 2s + 2, y = s + 3, z…

A: we have to find the point of intersection of the given lines

Q: 2. Sketch the line = (-4,-4) + t(6,8).

A: To sketch the line r=(-4,-4)+t(6,8)

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: What is the equation of a line that is perpendicular to y=-1/3 x-6 through the point (6, 4)? a.…

A: The given line equation is y=-13x-6

Q: The intersection point of the line y = +2 and the x-axis is

A:

Q: i. Write the equation below in standard form. 1 3x 5 2

A: ii. Write the equation below in standard form y2-3x=15. i. Write the equation of the line passing…

Q: The value of p, so that the lines 17-14 = 3 2p 22 and 2-5 72 3p 1 = intersect at right angle, is…

A:

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: Find the point of intersection of the two lines l1 : 7 Intersection point:

A: Introduction: The point of intersection is the intersection of two lines or curves. A point is the…

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…

A: