Let Lz be the line passing through the points Qz=(2, 2, -4) and Q2=(8, –-1, 2) and let L2 be the line passing through the point P=(-5, 1, -11) with direction vector d-[-1, 2, -1]". Determine whether L7 and L, intersect. If so, find the point of intersection Q. If not, find a value for the z- coordinate of P, so the resulting lines do intersect.

Q: et L1 be the line that passes through (2, 1,0) in the direction of (1, -1,2) and L2 be the line that…

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Q: Determine which of the points (-5,5), (2, −2), and (−2,−1) lie on both the lines x₁ + 4x2 = = -6 and…

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Q: Plot P(2, -4, 1) and Q(0, 3, 4) on the same set of coordinate axes

A: Given: plot P(2, -4, 1) and Q(0, 3, 4) .

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Q: Find equation of two different lines l2 and l3 through the point (6,-4) that are parallel to the…

A: The equation of line in standard form is ax+by=k where k is a constant. Since the equation of the…

Q: Q3, Passes through (4,10) and Perendicular to the line 6X-34=5.

A: Hope you get it

Q: Determine the value of a for which the line through (2, - 3) and (5, a) is perpendicular to the line…

A: Given:  Two points (2, -3)  and  (5, a)To determine the…

Q: Determine the equation of the line L which passes through the points A = (8, 11) and B = (12, 17)

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Q: A line passing through the points (a, 2a) and (-2, 3) is perpendicular to the line 4x + 3y + 5 = 0.…

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Q: Determine whether the points (-6, 5), (1, 7), and (16, 10) are collinear.

A: Given: -6,5, 1,7  and 16,10 Concept Used: Three points are collinear if area of triangle is zero.…

Q: Determine B such that the line 3x+2y-7=0 is perpendicular to 2x-By+2=0.

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Q: Which of the following is the point of intersection between the lines 3x + y = 10  and  2x - y = 5…

A: Two given equations of lines are: 3x+y=10 and 2x-y=5 First we need to solve this system of…