Find the equation of line passing through point P(1, –1, 2) , the direction of the line is parallel the direction of vector V =i-2j+k

Q: Find the vector form of the equation of the line inR3 that passes through P = ( -1, 0, 3) and is…

A: Equation of a line passes through  x1, y1, z1 having direction ratios a, b, c is, x-x1a=y-y1b=z-z1c

Q: The vector equation for the line segment that joins the point P(1, 3, –2) to the point Q(2, – 1, 3)…

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: Find the distance of point A(2/3, 2) from the line that passes through the origin and parallel to…

A:

Q: Find the distance of point A(23.2) from the line that passes through the origin and parallel to the…

A: given point A 23 ,2 and line passes through orgin and parallel to the vector v =<1,3>

Q: Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t…

A: Topic = vector

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: Find the distance of point A(2-3,2) from the line that passes through the origin and parallel to the…

A:

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

A: Given that : P = ( 1, 0 ) and d = -13 .

Q: A given line is described by x+2y = 4. Vector A starts at the origin and ends at point P on the line…

A:

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. X = 4t, y = 4 –…

A:

Q: 2. The two unit vectors parallel to the line 3x + 4y = 1 are and 3. The two unit vectors…

A: 2) The line is 3x+4y=1. Rewrite the equation of the line in the slope intercept form as,…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: The curve with vector equation r(t) = t'i + 2tj+ 3tk is %3D a line.

A:

Q: Find the length of the curve with the given vector equation. r(t) = 2t 4 1 + 11t j+ 10t 4 k, -1 sts…

A:

Q: Find the point A (a, a, 0) on the line y = x in the xy-plane, such that the vector AB is…

A: Solution is given below:

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. X - 8 y + 2 = z +…

A: This question is based on 3-d coordinate geometry.

Q: Let L be the line defined by the vector equation v = [ -1, -3 ] + t [ 1, -2 ]. Find the equation y =…

A:

Q: A line L has a direction vector v = 2i + 4j + V5k and passes through the point Q %3D Find the…

A:

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x-3y 4 + 1 2 P(x,…

A: Solution ) to find the point p (x - 3)/4 = (y + 1)/2 = z + 4  = 0 (x - 3) /4 = 0   ,   (y + 1) /2  =…

Q: 1. Give the vector equation of a line perpendicular to the line L: x= 21-1, y=-31, 1 e R. Are there…

A: Given line: l:x=2t-1, y=-3t, t∈ℝ To find the other line The vector equation of the line is…

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 5t, y = 9 –…

A: Let's find.

Q: Find a vector perpendicular to the lines: 4₁: x = 3-4t y=-2-6t x = -1 + 2t y=4-t L₂: O O None of…

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 2 %3D y + 5 =…

A: The given question has been solved in detail.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: 22. Given the symmetric equations t = - and t = +', find the vector equation of the line.

A:

Q: What is a general equation for the line with vector equation x=[31]+t[4−5]

A:

Q: In vector form, the equation of a line is given by r = (0, 1, 2) + t(2, 1,0), where t e R. T…

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: = Find the vector equation for the line passing through the points P₁ P₂ = (2,7-13). (5,-1,-5) and

A: The given points are;  P1=(5,-1,-5) and P2=(2,7,-13).

Q: (c) Find the vector equation of the line of intersection of the planes x-2y+z=0 and x+y=z= 1.

A:

Q: Find the linear equation of the plane through the point (-3, 4, 3) and perpendicular to the line…

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 coordinates of the point P on the line and a vector v parallel to the line x = 3t, y = 1 –…

A: Given parametric equation of line x=3t, y=1-t, z=3+5t

Q: 13. Given the points A(3,5) and B( – 3, – 7), find a. the vector equation of the line.

A:

Q: Find the equation of the line that goes through the point A = (5, –3, –4) and is parallel to the…

A: Given that the line passes through the point A=5,-3,-4 and is parallel to the vector  v=-2,4,3 The…

Q: Find the equation of the line that passes through the point ( 8, 8, 2) and parallel to the vector .…

A: The vector equation of the line which is passing through the point (h, k, l) and parallel to the…

Q: Find the vector equation of the line between the points (3, -1, 2) & (1, 4, -1), then graph the…

A:

Q: Find the vector form of the equation of the line in R2 that passes through P = (2, -1) and is…

A:

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 7t, y = 4…

A: The equation of the line is x=7t, y=4-t, z=1+9t The equation of the line in symmetric form  is…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: Find a vector equation of the line r through D4 and perpendicular to the line s through F4 and B1.…

A: Given,D4→ = 1i ^ + 2j^ + 3k^Equation of line passing through D4→ is:x-1a= y-2b=z-3cThe above line is…

Q: Find an equation for the line through P(11,10) parallel to vector v=2i-3j

A: Given point on the line is P(11,10) The vector parallel to the line is,v=2i-3j

Q: Find the vector form of the equation of the line in R2 that passes through P= (2, - 1) and is…

A: If a line is parallel to another line, then they have same slope.