A point in space and let's have the line L whose equation is Q(-1,0,1) let 1 L: 3- x = y = 4 4 It contains the rectum L Q(-1,0,1) Find the equation of the plane passing through the point

Q: 2. Find an equation (parametric and vector form) of the line if the line is perpendicular to the…

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Q: Let L be the line with parametric equations x-2-2t y-10-2t 2-8-21 Find the vector equation for a…

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Q: Write parametric equations for the line that passes through the point P ( 0 , 4 , 0 )  at time t = 0…

A: We know that the equation of the line passing through the points x1,y1,z1 and x2,y2,z2 is given by…

Q: Where does the line with parametric equations −1+3t y = 2 - 2t 2 = 3+ t intersect the plane 3x + y -…

A: Given parametric equation of line x = -1 + 3t y = 2 - 2t z = 3 + t Given plane 3x + y - 4z = -4

Q: Consider symmetric equations of lines х-1 4 = = 2 - y = z and l2 = x = -1, = 2 3 Find: equation of…

A: The given lines are                   l1 : x-12=2-y=z and                l2 : x=-1, y-23=z-12

Q: Use the cross product to find an equation for the plane that passes thru the points (1, 2, 3), (4,…

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Q: Find parametric equations for the line through Po = (10,-1, 1) perpendicular to the plane 2x + 3y -…

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Q: i 6i + 2j+ 2k + 2(i- 2j+2k) Find the shortest distance between lines -4i -i + 4(3i - 2)- 2k) and

A: The given lines are as follows- r→=6i^+2j^+λi^-2j^+2k^          ........(1)r→=-4i^-k^+μ3i^-2j^-2k^…

Q: Find equations of a line perpendicular to the lines x = y = z and x = 2y = 3z, passing through the…

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Q: draw the line which start point (1,1,0) and end point (3,4,0)by using parametric equation

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Q: Q1: al Find parametric and vector equations for the line y-axis, then find the distant between the…

A: Since you have uploaded multiple question, according to our guidelines we have solved first question…

Q: Find the parametric equations for the line passing through points P(2, -3, 1) and Q(4, 1, -4)

A: Given points are  P2,-3,1,Q4,1,-4