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: 5. Find the equation of the line perpendicular to 3x - 2y = 5 that goes through the point (3, -4). O…

A: Please refer the attached image for complete solution.

Q: a point Q(x2, y2) is on the line segment passing through R(-2,5) and S(4,1). Find the coordinates of…

A: Given: Given that the point Qx,y is on the line segment passing through R-2,5 and S4,1 Point Q is…

Q: Find the x-intercept of the line x+3y-5=0 as a point O a. (0,5) O b. (5,0) O c. None O d. (0,5/3)

A: x intercept can be obtained by putting y=0 in the given equation.

Q: Q5) Find the coefficients a, b, c and d such that the curve defined by; y = ax³ + bx² + cx + d,…

A: Given: The curve y=ax3+bx2+cx+d passes through the points 0, 10, 1, 7, 3, -11, 4, -14. To find: The…

Q: Find the line that passes through the point (0, 1) and through the point of intersection of the two…

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Q: . Find the equation of the line joining the points (4, 9) and (-1, 0)

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Q: -. Find an equation of line L. (1,3) (-3, –1),

A: We know that slopem of line which passes through pointsx1,y1,x2,y2 is given by m=y2-y1x2-x1…

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 the y-intercept of the line 2x+3y-6=0 as a point O a. None O b. (0,2) O c. (2,3) O d. (0,3)

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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: Use the definition to determine whether or not =(3,5,-2)'. =(-2,1,4)', and =(1,3,7) are linearly…

A: We have to check whether given set of vector is linearly independent or dependent.

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: Determine the x-intercepts of the following equation. (-x +5)(-a - 2) = y O (5,0) and (-2,0) O…

A: (5,0) and (-2,0).

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: Let L₂ be the line passing through the point P₁=(-3, -1, -2) with direction vector -[0, 3, 3], and…

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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 the equation of a line parallel to 2x+y-3-0 passing through (-2, 3). 2y + x + 1 = 0 none of…

A: As per guidelines i can only solve the first question in multiple questions.Finding the equation of…

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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Q: What are the points of inter section of y = 8 and f(x)

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Q: Which of the following is equivalent to the line (t) = (1 t) (1, 1) + t(2, 3)? A. (3, 4) ((1, 1)) =…

A: