Let Lz be the line passing through the points Q1=(1, 3, 1) and Q2=(7, 12, 4). Find a value of k so the line L2 passing through t P1 = P7(-10, -9, k) with direction vector d=[1, -3, –4]ª intersects with L7. %3D k = 0

Q: Let L be the line through the point Q = (-2, 9, -4) and direction vector -[-1, 2, -2]T. Find the two…

A: The equation of the line passing through the point x1, y1, z1 and having direction ratios l, m, n is…

Q: Q2. (a) Given the line L, passes through the point (2,6, -5) and parallel to direction vector AB.…

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Q: Find an equation of the line L.   L is perpendicular to y=3x through point (2,6)

A: Compare y=3x with y=mx+bSo, m=3Slope=3

Q: Let L7 be the line passing through the points Q1=(3,-5, –1) and Q2=(0, 4, –10). Find a value of k so…

A: Given that L1 be the passing through the points Q1=(3,-5,-1) and Q2=(0,4,-10). And the line  L2 be…

Q: Write an equation in slope-intercept form(y=mx+b), that perpendicular to y= 2x - 4 that passes…

A: Given that a line equation y = 2x - 4. And we know if two lines are perpendicular then there slope…

Q: Find an equation of the line that passes through points A(-4, 1) and B(-1, 5).

A: The equation of line passing through two points x1, y1 and x2, y2 is given by y-y1=y2-y1x2-x1x-x1…

Q: A bird takes exactly two minutes to fly linearly from P(3,8,4) to Q(7,4,-3). Assuming that the bird…

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Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

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Q: Find a function r(t) that describes the line segment from P(2,7,3) to Q(3,1,1). O A. r(t) = (2 – t,…

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Q: If the line joining the two points (5,4)(5,4) and (3,−k)(3,−k) is parallel to the line kx−9y+11=0…

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Q: Find the distance from the point (0,1,-1) to the line a(t) = (-2, 2, 4)t + (-6, - 1,5)

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