Is the line x = 1 + 2t, y =-2 + 3t, z =-5t related in any way to the plane -4x - 6y + 10z = 9? Give reasons for your answer.
Want to see the full answer?
Check out a sample Q&A here
Related Calculus Q&A
Find answers to questions asked by students like you.
Q: Is the line x = 1 + 2t, y = -2 + 3t, z = -5t related in any way to the plane -4x - 6y + 10z = 9?…
A: Given line s are x = 1 + 2t, y = -2 + 3t, z = -5t. The vector can be written as v=<2,3,-5>.…
Q: Are the plane 2x-y-4z 10 and the line {x = 2+4t,y 5- 2t,z =-8t} parallel or orthogonal?
A: We have to find out
Q: Are the plane 2x-y-4z = 10 and the line {x = 2+4t ,y = 5- 2t,z =-8t} parallel or orthogonal?
A: P : 2x-y-4z=10⇒n→=2i-j-4kL : x=2+4t, y=5-2t, z=-8t⇒l→=4i-2j-8k
Q: Is the line x = 1 - 2t, y = 2 + 5t, z = -3t parallel to the plane 2x + y - z = 8? Give reasons for…
A: Since, it is given that :-A:x=1-2t, y=2+5t and z=-3t -(i)and B: 2x+y-z=8 -(ii)Since, the vector…
Q: is the line x = 1 - 2t, y = 2 + 5t, z =-3t parallel to the plane 2x + y - z = 8? Give reasons for…
A: Given,
Q: Is the line x = 1 - 2t, y = 2 + 5t, z = -3t parallel to the plane 2x + y - z = 8? Give reasons for…
A: Is the line x = 1 - 2t, y = 2 + 5t, z = -3t parallel to the plane 2x + y - z = 8?
Q: Is the line x = 4 + 2t, y =-t , z=-4t - 1 parallel to the plane 3x + 2y + z = 7 ?
A: Click to see the answer
Q: What is the equation of the plane through (-1,-1,-1) parallel to the plane x+ 2y + 3z = 9?
A: The vector normal to the plane ax+by+cz=d is ai^+bj^+ck^ . The plane parallel to this plane has the…
Q: Find the point in which the line through the origin perpendicular to the plane 2x - y - z = 4 and…
A: Your line, perpendicular to the plane will have the slope of <2, -1, -1>, and passes through…
Q: Find an equation of the plane that passes through the line of intersection of the planes ( x- z =1 &…
A: The equation of a plane which passes through the line of intersection of two planes ax+by+cz-d=0 and…
Q: Find an equation of the plane that passes through the line of intersection of the planes ( x- z = 1…
A: Click to see the answer
Q: Find the intersection of the plane 3x – y + 2z – 3= 0 and the line
A: Click to see the answer
Q: Find the intersection of the line r(t) = (2, 1, 3) + t(3, -3, 1) and the plane 4x - 4y - 2z = 6.
A: Given, Line-> r(t) = (2, 1, 3) + t(3, -3, 1) Plane-> 4x - 4y - 2z = 6 ------equation 1
Q: Find an equation of the plane that passes through the line of intersection of the planes ( x- z = 1…
A: The equation of a plane perpendicular to other plane can be obtained by obtained by calculating the…
Q: Find an equation of the plane that passes through the line of intersection of the planes ( x - z = 1…
A: Click to see the answer
Q: Calculate the distance from point A(1, 2, 1) to the plane of equation 3x-4y + 5z = 1.
A: To find distance of point to plane using the formulae: Given point is and plane equation is .
Q: The intersection point of the line whose equation is (x+2y+z=1),(x+y+2z=-1) with the xz plane is:
A: we have given x+2y+z=1 ...(i)x+y+2z=-1 ...(ii)solve it 2×(i)-(ii)x+3y=3 ...(a) this is equation…
Q: Find the point at which the line (0, –3, 5) + t(4, –1,2) intersects the plane 4x + 4y – 4z = 0.
A: Click to see the answer
Q: Find an equation of the plane that passes through the line of intersection of the planes ( x – z = 1…
A: Click to see the answer
Q: Find an equation of the plane that passes through the line of intersection of the planes ( x – z = 1…
A: We have found the plane that passes through the line of intersection of the planes x-z=1 &…
Q: Find the point in which the line through the origin perpendicular to the plane 2x - y - z = 4 meets…
A: We first have to find the line through the origin perpendicular to the plane 2x - y - z =…
Q: Find the point in which the line through the origin perpendicular to the plane 2x - y - z = 4 meets…
A: Click to see the answer
Q: Find the point in which the line through the origin perpendicular to the plane 2x - y -z = 4 meets…
A: Click to see the answer
Q: Find the point in which the line through the origin perpendicular to the plane 2x - y - z = 4 meets…
A: Given that the line is passing through origin so ro = (0,0,0) and perpendicular to the plane 2x – y…
Q: Find the point in which the line through the origin perpendicular to the plane 2x - y - z = 4 meets…
A: Click to see the answer
Q: Determine if the plane given by -x + 2z 10 and the line given by %3D (x = 5, y = 2 -t,z = 10 + 4t)…
A: given plane: -x+2z+10 given line: (5,2-t,10+4t)
Q: The point of intersection between the line t with the plane 2x + 3y +5z = 31 is
A: Given line ,x-1-4=y-13=z5=tTherefore any point on the line is of the form (1-4t,1+3t,5t)Put this…
Q: Find the equation of the plane that contains point P1(1,0,3) and orthogonal to line L1:(5t – 1,3 –…
A: Consider the line L1given by the vector form: L1:5t-1, 3-2t, t :-1+5t, 3-2t, 0+t :-1, 3, 0+5t,…
Q: Find the equation of the plane that contains point P1(1,0,3) and orthogonal to line L1: (5t – 1,3 –…
A: If normal vector is <a, b, c> Then equation of plane perpendicular to line with normal vector…
Q: Find the point at which the line 7(t) = (5, – 3, - 6) + t( – 2, - 8, 6) intersects the xz plane.
A: Click to see the answer
Q: Find the point in which the line through the origin perpendicular to the plane 2x – y- z = 4 and…
A: Click to see the answer
Q: Find the equation of the plane containing the point (4, -1, 3) that is parallel to the plane 2x - 3y…
A: Click to see the answer
Q: Find the equation of the plane containing the line: x = 2 + 10t, y = 2 – 2t, z = 9 + 4t and parallel…
A: Click to see the answer
Q: Find the equation of a plane that passes through the origin and contains the line x = 2t, y = 3t, z…
A: Consider the provided question, The equation of a plane passing through the point (x1, y1, z1) is…
Q: Find the equation of the plane that contains the point (4, 0, −2) and is perpendicular to the planes…
A: The equation of the plane passing through the point x0, y0, z0 is given as…
Q: Show that the plane 2x − y − 3z = 4 is parallel to the line x = −2 + 2t, y = −1 + 4t, z = 4, and…
A: Concept: The calculus helps in understanding the changes between values that are related by a…
Q: Find the intersections of the line x = -2, y = 4 + 2t, z = -3 + t with the xy-plane, the xz-plane,…
A: Click to see the answer
Q: he intercepts of the plane given by
A: Intercepts of the plane are (3,5,3).
Q: Find the distance between the point (0, 1, 2) and the plane 3x - 2y + 6z = 6.
A: Using Distance from point to plane formula,
Q: Is the line x = 4+ 2t , y =-t , z = -4t – 1 parallel to the plane 3x + 2y + z = 7? %3D
A: Click to see the answer
Q: What is the equation of the plane parallel to 3x + 4y − z = 5 passing through the origin?
A: Given: 3x + 4y − z = 5
Q: Find the distance between the point (2, 0, 1) and the plane 2x - 3y + 6z = 6.
A: Click to see the answer
Q: Find the distance between the point and the plane. 19. (0,0,0) and 2x+3y+z12 20. (2,8,4) and 2x+…
A: a) given point is (0,0,0) plane is 2x+3y+z=12 find the distance between the point and the plane b)…
Q: Sketch the following planes in the window [0, 5] × [0, 5] × [0, 5]. The plane parallel to the…
A: First obtain the plane that parallel to the xz-plane containing the point (1, 2, 3).…
Q: If the line x=1+(a+2)t, y=1-bt, z=-1+(c-1)t and the plane -x+2y-3z=0 are orthogonal to each other.…
A: The parametric equation of the given line is x=1+a+2ty=1-btz=-1+c-1t The general form of the…
Q: Find the equation of the plane that passes through the points 4 = (2,4,-3), B = (3,-1,3) and y - 4 -…
A: Click to see the answer
Q: Find the equation of the plane that contains the point P(3,5, –1) and the line = 4 – t, y = –1+ 2t,…
A: Click to see the answer
Q: Find the equation of the plane that contains the point (5, 2, 7) and the line r(t) =
A: Topic = Geometry
Q: Find the point at which the line 7(t) = +t intersects the xy plane. %3D
A: Click to see the answer
Q: Consider the plane P with equation-2x-2y+z =-1 and line L with equations x = 1-4t y =-1-2t z = 8+6t
A: Click to see the answer
