Express the equations of the lines r · (i −j) + 7 = 0,r · (i + 3j) − 5 = 0 in parametric forms and hence find the position vector of their point of intersection

Q: Find the vector parametric equations for the line. in the direction of the vector – i+ 5j-3 k and…

A: equation of line in vector parametric form

Q: Give a vector parametric equation for the line through the point (3, 1) that is perpendicular to the…

A:

Q: 1. What is the vector and parametric forms of the equation of the line passing through points…

A: This question can be solved using the concept of vector and parametric equation of line passing…

Q: Write the vector equation for the given parametric equations: x=3+5t y=9+7t

A: Consider the parametric equation  x=3+5t  y=9+7t

Q: Find the equation of the plane that contains the point (4, – 1, 3) and is perpendicular to the…

A:

Q: Find parametric equations of the line through (-1,0,3) that is parallel to 5i – 6j+k. x(t) y(t) =…

A:

Q: Find the parametric equations for the lines. Where, the line through the point P (3, -4, -1)…

A: Topic = Vector

Q: Find parametric equations for the lines in The line through the origin parallel to the vector 2j + k

A: Given  The vector equation is  0i +2j+k  The line passing through origin , origin is  ( 0 ,0 ,0)…

Q: find the parametric equations of the line through (-3,0,2) that is parallel to 3i-4j+k. x(t)= y(t)=…

A:

Q: Find parametric equations of the line through (-3,0,9) that is parallel to 2i-6j+k. x(t)= 11 y(t) =…

A:

Q: O Find the parametric equation of the line through the point (-3,1,6) parallel to the vector V 2i +…

A:

Q: Find the equation of the plane passing through the point (3, 2, 2) perpendicular to the vector…

A: Given that the plane is perpendicular to the vector n=2i+3j-k. This means the direction ratio of the…

Q: 4

A:

Q: Find the parametric equation for the line in R' that passes through the point (1, –2, 3) and that is…

A:

Q: Find the equation of the plane through the point with position vector 5i-2j+3k perpendicular to the…

A:

Q: Give a vector parametric equation for the line that passes through the point (3, 5, –5), parallel to…

A:

Q: Find the parametric equations of the line through the point P(1, 2, 4) and parallel to the vector .

A: use the parametric form  of line .

Q: Find parametric equations for the line whose vector equation is given. (а) (т, у) 3 (6, —5) + t(1,…

A:

Q: Find the parametric equation of the line that passes through the point P(2,4, –2) and is parallel to…

A: Parametric equation of line that passes through the point P(x0, y0, z0)& parallel to vector a =…

Q: Find the equation for the plane through the point Po = (2,2,7) and normal to the vector n= 8i + 3j +…

A: Equation of plane passing through point P(x0,y0,z0) and normal to vector n=ai+bj+ck is given by:…

Q: Find the parametric equations of the line contains point P (2, -1, 2) and tangent to the vector v =…

A: Given problem:- Find the parametric equations of the line contains point P (2,-1, 2) and tangent to…

Q: Give a vector parametric equation for the line through the point (4, 2) that is perpendicular to the…

A:

Q: 4. (a) Find a parametric equation and symmetric equation of the line that pases through the point…

A: We have a point P(2,-1,3) and a vector  i^+2j^-3k^ We have to find a parametric equation and…

Q: Find a vector equation and a parametric equation for the line that passes through the point (5, 1,…

A: We have to solve given problem:

Q: Question 3. (a) Prove that the planes 4x – 2y + 6 = 0 and y – 4z – 13 = 0 intersect each other. (b)…

A:

Q: Find the vector parametric equations for the line. in the direction of the vector 57-5-k and through…

A:

Q: Given the points P = (2,3,4), Q = (4,–1,5) and R = (-2,5,6) : a. Find a parametric or vector…

A:

Q: Find a parametric equation and symmetric equation of the line that pases through the point (2, -1,3)…

A:

Q: Find an equation of the plane passing through the point perpendicular to the given vector or line.…

A: NOTE: Refresh your page if you can't see any equations. . the given point is  . the given direction…

Q: Find the vector parametric equations for the line. in the direction of the vector 4 i – 3j- 3k and…

A: Equation of the line passing through a given point a,b,c and in a given direction l i+m j+n k is…

Q: Find parametric equations for the lines in The line through (2, 3, 0) perpendicular to the vectors u…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find the parametric equations of the line containing the point (-2,1,2) and parallel to the vector…

A:

Q: Find parametric equations of the line through (-2, –1, 3) that is parallel to 2i – 3j+k. x(t) = %3D…

A:

Q: If a line is parallel to the vector 8i + 5j+3k and passes through the point P = (6,2, 4), then the…

A: The line which is parallel to the vector  ai + bj + ck and passes through (x1 , y1 , z1) has the…

Q: Given the points P = (2,3, 4), Q = (4,–1,5) and R = (-2,5,6) : a. Find a parametric or vector…

A:

Q: write the equation of the line passing through P with direction vector d in (a) vector form and (b)…

A: Given the point P=(-4,4) and the direction vector d=11We need to find the equation of line passing…

Q: Give a vector parametric equation for the line through the point (-1, –1) that is perpendicular to…

A: We have to write a parametric equation of the line  which is passing through the point (-1, -1)…

Q: Give a vector parametric equation for the line through the point (−1,−1) that is perpendicular to…

A: Vector equation of line which passes through point r0 and perpendicular to line a+bt,c+dt is given…

Q: Give a vector parametric equation for the line through the point (4, 0, -5) that is parallel to the…

A:

Q: Give a vector parametric equation for the line through the point (-2, –2) that is perpendicular to…

A:

Q: Give a vector parametric equation for the line through the point (1,−4,1) that is parallel to the…

A: We have to find the vector parametric equation for the line through the point (1,-4,1) that is…

Q: )P=(3,2,1), then the parametric equation of the line is :   a.

A:

Q: Find a vector equation and parametric equations for the line segment that joins P to Q, given P(0,…

A:

Q: Find parametric equations for the line whose vector equation is given. (а) («, у) %3D (3, —3) + t(1,…

A:

Q: Find an equation of the plane passing through the point perpendicular to the given vector Point…

A: Here we have to find the equation of the plane passing through the point (0,4,0) and perpendicular…

Q: write the equation of the line passing through P with direction vector d in (a) vector form and (b)…

A:

Q: Complete the parametric equations of the line through the point (8,6,-2) and perpendicular to the…

A: equation of line passing passing through the point 8,6,-2 and perpendicular to the plane , x-7y-z=-3

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.