Q: Find the equation of the plane that is parallel to the vectors (1,0,1) and (0,1,1), passing through…
A:
Q: Find distance from point (-6, 3, 5) to the plane – 2y – 4z = 8| -
A:
Q: 2. The plane containing the point (-8, 3, 7) and parallel to the plane given by 4x+8y-2z=45.
A:
Q: ASAP: find the equation of the plane that is parallel to the vectors (3,0,1) and (0,2,1) passing…
A:
Q: Write vector and parametric equations of the plane a) parallel to the lines [x, y, z]= [1, - 2, 7]+…
A:
Q: Determine the scalar, vector and parametric equations of the plane that passes through the points…
A:
Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3,5) and…
A: Using the dot product equal to zero for perpendicular to the vectors.
Q: Find an equation of the plane that passes through the points (-6, 1, 1), (0, 4, 7), and (1,0, –1).…
A:
Q: Find parametric equations of the line perpendicular to the yz-plane passing through the point (-8,…
A:
Q: Find an equation of the plane. The plane through the point (8, -8, -8) and parallel to the plane 5x…
A:
Q: Find an equation (in point - nomal form) of the plane containing the point (1.-3,5) and the line…
A: Given:
Q: Do the vectors (1, 0, 0), (0, 1, 0), and (2, 3, 0) lie on the same plane? Briefly explain how you…
A:
Q: A plane in R'is perpendicular to the vector (4, 2, – 9), and contains the point (- 9, 5, - 8). Find…
A: A plane in ℝ3 is perpendicular to the vector 4, 2, -9 and contains point -9, 5, -8To find the…
Q: Suggest at least 3 ways that parametric equation of a plane can be helpful to visualize vectors in a…
A: Let me tell you different ways of visualization of vectors followed by an example.
Q: Give the parametric and symmetric equations of the line that passes through the point (2,6, –1) and…
A: To find equation of line passing through the point 2,6,−1 and perpendicular to both vectors −4,3,−5…
Q: Find the equation of the plane through the point (-3,2, 0) and perpendicular to the vector (1,-2,5).
A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…
Q: Show clear and detailed solutions Provide the parametric and symmetric equations of the line that…
A: Let the direction ratio of required line is l , m and n
Q: Find the equation of the plane that is parallel to the vectors 3,0,1 and 0,1,2, passing through the…
A:
Q: Find an equation of the plane whose points are equidistant from (6, -5, 3) and (7,5, 5). 13x + 8z –…
A:
Q: Find the equation of the plane containing the point ( – 5, – 10, 9) and the two vectors and -
A: Given that , Plane containing the point -5,-10,9 So , a→=-5 i^-10 j^+9 k^ And vectors are ,…
Q: Find vector and parametric equations of the plane through A (1,1,-1) and B (0,-2,3) that is parallel…
A: The solution is below.
Q: (1 point) The planes 4x + 4y- z= 10 and 5x + 4y-4z 9 are not parallel, so they must intersect along…
A: The intersection of two planes is always a line .
Q: Find an equation of the plane. The plane through the point (6, −8, −8) and parallel to the plane…
A:
Q: Find an equation of the plane that passes through the points (-6, 1, 1), (0, 3, 5), and (1,0, –1).…
A:
Q: A line I through the point (5,3, -6) has direction cosines and Find the vector and parametric…
A: In this question, the concept of the vector equation of a line is applied. The vector equation of a…
Q: 2. Obtain an equation for a plane 7 that includes straight line(2"--5) and point(-2,1,1).
A:
Q: Determine the scalar, vector and parametric equations of the plane that passes through the points…
A:
Q: Find the distance from the point (2,-3,5) to the plane passes through the points (1,0,-3), (3,4,-6)…
A: (b) Given point P2,−3,5 and a plane passes through the points 1,0,−3, 3,4,−6 We have to find the…
Q: Find equation of plane that contains the points (-1, 2, 1), (0, -3, 2), and (1, 1, -4)
A:
Q: Find the equation of the plane that is parallel to the vectors (3,0,2) and (0,1,2), passing through…
A:
Q: Determine the general equation of plane I passing through the point (-4, 3,-1) and parallel to the…
A:
Q: Determine parametric, vector and scalar equations for the plane that contains the attached line as…
A: A plane is mathematically represented by a first-degree equation in three unknown variables. From…
Q: Find the equation of the plane that passes through the point (−2, 8, 4) and contains vectors ⃗a…
A: The equation of plane passing through the point x0, y0, z0 and contins vector a→ amd b→ is n1(x -…
Q: Find the distance between (1,-2, - 1)and the plane through the points (1, 2, 3)and (3 , 2, 1)and…
A: Given information: The plane passes through the points (1, 2, 3) and (3 , 2, 1) and perpendicular to…
Q: Find the equation of the plane containing the points (0, 1, 3), (2, 2, 2) and (3, 2, 1)
A: Given: points (0,1,3), (2,2,2), (3,2,1) Find: equation of the plane containing given points
Q: Find an equation ( in point - nomal form) of the plane containing the point (1.-3, 5) and the line…
A:
Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3)
A: Given: Points 0,0,2, 2,4,1 , -2,3,3 Recall that we can generally write the equation for a plane…
Q: find the distance from the point (2,2,3) to the plane 2x+2y+2z=4
A:
Q: Determine the distance between the point (-1, 2, 1) and the plane 2x +14y -5z = 7.
A: The distance between a point (x1, y1, z1) and a plane Ax+By+Cz=D is given by…
Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3).
A: Equation of a plane containing 3 points is x-x1y-y1z-z1x2-x1y2-y1z2-z1x3-x1y3-y1z3-z1=0
Q: Find an equation ( in point - nomal form) of the plane containing the point (1.-3, 5) and the line…
A: Equation of a plane in point normal form is given as, A(x-a)+ B(y-b)+ C(z-c)=0 Where (A,B,C) is the…
Q: 2. Obtain an equation for a plane a that includes straight line(2--5) and 1: point(-2,1,1)
A:
Q: What is the equation of the plane containing the points (1,−2,0) , (3,1,4) and (0,−1,2)?
A: The equation of the plane containing the points (1,−2,0) , (3,1,4) and (0,−1,2)
Q: Give the parametric and symmetric equations of the line that passes through the point (4,-3, 5) and…
A:
Q: Find vector and parametric equations of the plane that contains the point P = (-3,1,0) and is…
A:
Q: Find the equation of the plane through the point (-3,2,0) and perpendicular to the vector (1, -2,5).…
A: Questions from vector calculus.
Q: Determine the distance between the point (-1, 2, 1) and the plane 2x +14y -5z = 7
A: We know that the distance between a point (x1, y1, z1) and a plane Ax+By+Cz = D is…
Q: Find an equation of the plane consisting of all points that are equidistant from (-1, 3, 2) and (2,…
A:
Q: Write vector and parametric equations of the plane. a) parallel to the xz-plane and through the…
A: If there is a constant k, then x = k represents a plane parallel to the yz-plane, y = k is a plane…
Find the parametric equations of the plane that contains the point (3,-2,0) and is parallel to the
Step by step
Solved in 2 steps with 2 images
- Find the parametric equation for the line through the point (2,-3,1) and parallel to the vector [3,4,2]Determine the scalar, vector and parametric equations of the plane that passes through thepoints (3,2,5), (0,-2,2) and (1,3,1).Determine parametric, vector and scalar equations for the plane that contains the attached line as well as the point (2,0,-3).
- Give the parametric and symmetric equations of the line that passes through the point (5,−1,3) and is perpendicular to both vectors ⟨2,6,−1⟩ and ⟨−4,3,−5⟩The plane contains the point (2, −1, 6) and is normal to the vector <2, −1, 6>.Determine the scalar, vector and parametric equations of the plane that passes through thepoints (3,2,5), (0,-2,2) and (1,3,1). find each individual equation.
- Find vector and parametric equations of the plane that contains the point P = (−3, 1, 0) and is parallel to the two vectors v1 = (0, −3, 6) and v2 = (−5, 1, 2).Find the parametric equations of the line containing the point (-2,1,2) and parallel to the vector v=(1,-2,1).Find the equation of the plane that is parallel to the vectors <1, 1, 2> and contains thepoints (–2, 3, –1) and (2, 0, 1)
- Where does the line that passes through the point (1,0,2) in the direction of the vector <2,-1,4> intersect the xy-plane?Give a vector parametric equation for the line through the point (3,4,−2) that is parallel to the line ⟨−4−5t,3+4t,−2−3t⟩Find the distance between (1,-2, - 1)and the plane through the points (1, 2, 3)and (3 , 2, 1)and perpendicular to the plane 4x-y+2z=7?