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: Find the intersection of the lines r(t)=⟨1−2t,13+6t,9+8t⟩r(t)=⟨1−2t,13+6t,9+8t⟩ and…

A: Points are:-

Q: Which equation represents a line parallel to the line through A(0, 2) and B(1, 0)? O A. y= 2x+ 1 O…

A:

Q: Find the point on the line x - 3y+9 = 0 that is closest to the point (-1, 3). 1) (-0.9, 2.7) O 2)…

A: Closest distance form a point to a line is normal distance from point to line.

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: and PARALLEL to the given line. 2. (-2, 3); y = -x + 4 Y-3ニ-11×+2)

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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) .

Q: The equation of the line passing through the point A(-3,5) and perpendicular to 7x-9y+1=0 is: O a. y…

A: first find slope of given line we have to differentiate function with x 7 - 9dy/dx  = 0 dy/dx = 7/9…

Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: The points (x, -5) and (2, y) are on the line containing the points (-14, 7) and (10, 1). What is…

A: equation of line containing two points (x1,x2) and (y1,y2) is y-y1=y2-y1x2-x1x-x1

Q: Find x and y if (2, 5) is the midpoint of points (x, y) and (-5, 6). b. Find the point (0, y) that…

A:

Q: Let r₁(t) = (-7, -6, -3) + t(0, 2, -3) and r₂(s) = (5, -10,-5) + s(3, 0, -2). Find the point of…

A: We want to find the point of intersection of the given two lines.

Q: Sketch v = (−2, 1), w = (2, 2), v + 2w, v − 2w.

A: Given vector, v = (−2, 1), w = (2, 2)

Q: Find a parallel line that passes through the given p (3, 4), y = 2x - 7 O y = 2x +2 O y= 1/2x + 2 O…

A:

Q: Determine whether the lines (1,1,1)+ t(1,2,-1), and (3,2,1)+(-1,-5,3) are parallel, intersect, or…

A:

Q: 2. Which point is the intersection of x + 2y = 8 and 2x + 3y = 10? a. (-2, 5) %3D b. (-4, 6) с. (2,…

A: The given equations are x+2y=8          …12x+3y=10      …2

Q: Ex(7): Find the coordinate of the point which divides the line segment from 3 (2,-3) to (-1,4) in…

A:

Q: Find the perimeter of rectangle WXYZ with coordinates W(3,7), X (3,-1), Y(6,-1), and Z(6,7).

A:

Q: Given (2,11),  (4,18),  (10,28), what is the intercept? The data are given as (x,y).

A: The formula of intercept is,

Q: Find WX. 2.x + 16 X, Y 7x – 29 W

A: