Explain why the lines below intersect. l1: (x, y, z) = (2, 3, 4) + n(1, 2, – 3) and l2: (x, y, z) = (2, 3, 4) + r(2, 3, 5)

Q: The point of Intersection for the given lines: L:x=2+t,y=2+31, z=3+t L2: x=2+t,y%-3+4t, z=4+21

A: Given the lines are L1:  x=2+t , y=2+3t , z=3+t L2:  x=2+t , y=3+4t , z=4+2t

Q: he equation of the line passing through the point (1 (1, 1, 1) +t(0, 1,2) B. (1,1,1) +t(0,2, 2)…

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Q: Let us have the straight line whose equation is L: x+1= y =÷+2 The points of intersection of the…

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Q: Find the point of intersection (xo, yo, zo) of the lines given as: L : x= 9+t, y = 7+ 81, z = 4 + t…

A: Let the coordinates of L1 be x1,y1,z1 therefore x1=9+t,y1=7+8t,z1=4+t. Let the coordinates of L2 be…

Q: Verify that the lines are parallel, and find the distance between them L1: x = 2 - t, y= 3 + 4t, z =…

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Q: ind the point of intersection (xo, yo, zo) of the lines given as: L: x = 2 + t, y= 4+5t, z = 5 +t L:…

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Q: Consider the line y = ax , where a is a positive constant. What should be the x- coordinate of the…

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Q: O Determine if the line and plane intersect. If so, state the solution. T: -2x+6y + 4z_4=0 L: [x, y,…

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Q: 3) Determine the point of intersection between Line L: ( (x+1)/6)= ( (3-y)/-1)= ((z-4)/-2) and i…

A: Given, Equation of line is x+16=3-y-1=z-4-2.Equation of plane is x+2y-z+29=0. The intersection point…

Q: In the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5).…

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: 3. Find the intersection point of the two lines, L1: r = 4-t, y = 1+ 2t, z = -2+t L2 : x = 3+s, y =…

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Q: Find an equation for the line L that contains the point the point P = (−2, 4, 1) and is orthogonal…

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Q: l2: = 1-s, y = 3+ s, z= 3+2s l: =1+t, y = 2- 2t, z= -3+t Determine whether the given lines are…

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Q: Let the point A = (-1,3,-3 ) be the lines r:X=(1,1,-2)+t(2,-1,2) te R a) The distance between the…

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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: Use point-slope form, y - y = m(x-x), to find the linear equation of a line that passes through the…

A: Given: (2,-1) and (10,7)We know that slope from two points (x1,y1)  and (x2,y2) is…

Q: 4. Determine whether the pair lines are equal, parallel but not equal, skew, or intersecting. L1:x =…

A: Given:      L1:  x=1-4s, y=3+s ,z=8-6s      L2: x=2+3t ,y=2t ,z=-1-3t   For Parallel test:…

Q: Find the equation of the line of intersection of r +y+z = 0 and 2x – 3y + z = 0. Note: (0,0,0) is a…

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Q: Estimate the slope of the graph at the points (x,, y,) and (xɔ, y2). At (x, Y1), slope At (x2, Y2),…

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Q: Find the value of k so that the line containing the points (-–6, k) and (5, –5) is perpendicular to…

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Q: x2- 4y + 8 = 0, the lines x = 0 and x = 4, and the x-axis.

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Q: 30. The slope of line / in the standard (x, y) plane is . Which of the following is an equation of a…

A: Givenslope of line l=m1=23To calculate: which line is perpendicular to line l.concept: Two lines are…

Q: 259. Find the point of intersection of the lines of equations x = -2y = 3z and x = -5-t, y=-1+t, z =…

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Q: Determine whether the lines are parallel, intersect, or coincide. 3. y= -3x + 4, y =-3x + 1 9. 6x-…

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Q: 1 The line y = -x+3 is perpendicular to which line? 2**3 [A] y= 2x – 3 [B] y=x+1 (C) y=-r+6 [D]…

A: We have to find the equation of line which is perpendicular to the given line: y=-12x+3 We know that…

Q: Determine whether the lines are parallel, skew or intersect: -1+ 4t; z,= 2 -t l2: x= 3+2s, y,=2+ s,…

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Q: Q/ What is the relationship between the two lines L2 3 L1 ) where L1:x = 1+ 4t , y = 3 – t, z = 1+t…

A: The given lines are                              L1 : x=1+4t,  y=3-t,  z=1+tL2 : x=-3t,    y=1-t,…

Q: Determine if the line intersects the plane. If so, state the solution. [x, y, z][-1, -9,16]++[3, 3,…

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Q: Determine if the lines intersect, or are skew, or are parallel. L1: x = 4+ 2t, y = -5+ 4t, z =1+3t…

A: We will find whether the lines intersect, or are skew ,or are parallel as following.

Q: x, y >0 x, y > 0 12. What are the intercepts of the line 2x + 4y = 60? (A) (15, 0) and (0, 30) (C)…

A: As per our guideline we are allowed to do 1 question or 3 subparts at a time. Please post other…

Q: 5. Consider the rectangle below. What is the equation of the line that maps the figure onto itsell?…

A: Step 1          The equation of the line that maps the figure           on to itself.…

Q: b) Find the intersection point of the line Lix-1.y-3+t, z4+2t with xz-plane.

A: Here we have given equation of line and we have to find the point of intersection of given line with…

Q: Estimate the slope of the graph at the points (x1, Y1) and (X2, Y2). At (x1, Y1), slope %3D At (x2,…

A: For slope 1 from the above graph observe the line on x1,y1 which is located so, the observed points…

Q: The line joining the origin and Pomt of of the linesr (X=1+2t,42-3+4t. y=-5+3t 2 Ction ,zet) and

A: Let the parameter of line L1 is t = t1 and the parameter of line L2 is t = t2. To find the point of…

Q: Find the distance from the point (4, 4, 3) to the line x=0 ,y=4+t ,z=3+4t

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Q: Determine where the line y=6x +3 cuts y-axis A (-1,0) (-2,0) (+1,0) (-3,0) В (0,0) (0,–1) (0, +1) C…

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Q: (a) x = 2+ (y – 2)², x = 3; about the x – axis. (b) y = Vx, = 2y; about the line x = 5.

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Q: Let us have the straight line whose equation is L: +2 = y-3 = z+2 (1) Find the points of…

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Q: 9. L:x=4t+2, y= 3, z=-t+1 and L:x=2s+2, y=2s +3,z=s+1 x-8 y+5 L: 4 x+4 and L: -8 Z+9 y-1 z+18 10. =.…

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Q: a) Obtain the distance between a point and a line in R. b) Find the distance between the point P…

A: Distance of point (x1,y1,z1) tothe line ax+by+cz+d=0 is d=ax1+by1+cz1+da2+b2+c2Therefore distance…

Q: Find the point of intersection of the lines of equations x = - 2y = 3z and x = - 5 - t, y = - 1 + t,…

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Q: Find the equation of the line using the given information. (x, y) = (−4, 0)  and  (x, y) = (−4, 8)…

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Q: 6. Find the intersection point of the two lines: [x, y] = [1, 2] + [2, –1] and [x, y] = [0, 3] +…

A: As per our guideline we will solve first one for you. If you want other question to be solved, then…

Q: Find the point of intersection (xo, Yo, zo) of the lines given as: y = 4 + 5t, z = 2 + t z = 3 + 21…

A: To find the point of intersection x0, y0, z0 of the lines given as: L1: x=7+t, y=4+5t, z=2+tL2:…

Q: 4. Determine the intersection of lines:L,:= = and Lz X=Y-1=2 11 >\J

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Q: 1. Below are 9 lines. Which lines are parallel? а) у%3D Зx — 2 d) 3(y – 2) = 6 – x c) x+ 2y = 3 f)…

A: As per our guidelines we are only supposed to solve first question in case of multiple questions If…

Q: 2-4y + 8 = 0, the lines x = 0 and x = 4, and the x-axis.

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Q: A. Does the line pass through the given point? Write yes or no on the line. Show your work. 1. (4,…

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Q: Find the point of intersection (xo, Yo, Zo) of the lines given as: o = i i i Vo = Zo = L₁: x= 7+t, y…

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Q: Let us have a straight line whose equation is L: x+2 = y+3 =+3 1-Find the points of intersection of…

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