The unit vector of the PQ (of point P(-3, 4, 1) and terminal point Q(-5, 2, 2)). - The angle between the planes x+y=1, 2x + y- 2z 2. The parametric equation of the straight line (by using the points P and Q).

Q: Find parametric equations for the line in which the planes, x+2y-2z=5 and 5x-2y-z=0 intersects. Show…

A: Given, The equation of intersecting planes, x+2y-2z=5 and 5x-2y-z=0.   We have, x + 2y = 2z + 5 and…

Q: Find an equation of a plane making an angle of π/2 with the plane 3x + y − 4z = 2

A: Here we have to find the equation of plane  making an angle of π/2 with the plane 3x + y − 4z = 2

Q: Find parametric equation for the lines .. The line through (0, -7, 0) perpendicular to the plane x +…

A: A parametric equation of a line can be written if a point on the line is given and a vector parallel…

Q: Find parametric equations for the line going through (5, 4, 6) and is perpendicular to the plane x −…

A: Here, By substituting the values of r0 and v in vector equation,

Q: Find parametric equations for the lines in The line through (2, 4, 5) perpendicular to the plane 3x…

A:

Q: 33) Given point P(1,2, 3) and vector n= î + ĵ , find point Q on the x-axis such that PQ and în are…

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

Q: Find parametric equations of the line of intersection of the two planes. 9x + 8y - 9z = -3, -7x - 5y…

A:

Q: Find parametric equations for the line pass- ing through the point P(2, –1, 4) and parallel to the…

A: Given, The line is passing through the point  P 2, -1, 4  and parallel to the vector 1, 4, -2. We…

Q: (A) Find plane equation that passes through the point (7,3,-5) and contains unit tangent vectors of…

A: To find the equation of a plane containing two lines and passing through a point (a, b, c) is given…

Q: Find parametric equations of the line perpendicular to the yz-plane passing through the point (-3,…

A: We have to find the x ,y,z

Q: Find the parametric equations for the line in the x-y plane which goes through the points (2,-1) and…

A: The parametric equations for the line in the x-y plane which goes through the points (2,-1) and…

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

A:

Q: Find parametric equations for the line segment joining the points (-7, 6) and (5, 3). x=-7+12t, y…

A:

Q: Find a set of parametric equations for the line passing through the point (8, 0, 9) that is parallel…

A:

Q: Choose the parametric equations that represent the line segment that goes through the points (1,4,…

A: Given points x0,y0,z0=(1,4,-5) and x1y1,z1=(2,2,-1)

Q: Determine vector and parametric equations for the line through the point (2, 1) and parallel to the…

A:

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (8, 6)…

A: Given;  The line through (8,6) that is parallel to -4i+3j.

Q: Find parametric equation of the line passing through point (4,2) and parallel to vector 7 = -i+5j.

A: Given: A line passes through the point (4, 2). The line is parallel to the direction vector…

Q: Find the vector, parametric, and symmetric equa lines: (a) the line perpendicular to x+7_y-4 with 3…

A:

Q: How do you find the parametric and symmetric equation of the line passing through the point (3, 2,…

A: We have to find the parametric and symmetric form of the line perpendicular to the given plane at a…

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: 3. Give the parametric and symmetric equations of the line that passes through he point (4, –3, 5)…

A:

Q: 3) Find a vector equation and parametric equations for the line segment that joins (-2, 4, 0) to…

A:

Q: Find parametric equations for the lines in The line through (0, -7, 0) perpendicular to the plane x…

A: we know that equation of line in parametric form which passes through pointx1,y1,z1 and…

Q: Determine the vector and parametric equations of the line through A(6,2,5) and B(9,2,8)

A: Given points , A(6,2,5) B(9,2,8) Therefore a=6i+2j+5k b=9i+2j+8k

Q: Give the parametric and symmetric equations of the line that passes through the point (4, –3,5) and…

A: we have to find the equation of line which is passes through the given point and perpendicular to…

Q: Determine the parametric equations of the plane containing the point (1, -5, 9) and the line [x, y,…

A: I am going to calculate the parametric equations of the plane containing point (1,-5,9) and the line…

Q: Give a vector parametric equation for the line through the point (4,-3) that is perpendicular to the…

A: Give a vector parametric equation for the line through the point (4,-3) that is perpendicular to the…

Q: Find a set of parametric equations and symmetric equations of the line ` con- taining the point P(1,…

A: Given Point is (1,-2,3) And Plan is : 2x-y+3z=6

Q: Find parametric equations for the line in which the planes, X+2y-2z=5 and 5x-2y-z=0 intersects. Show…

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 for the line that passes through the point  (5, 2) and is parallel to the…

A: we have to find parametric equations for the line that passes through the point  (5, 2) and is…

Q: Find parametric (or vector) and symmetric equations of the line which pass through the points P,…

A: P11, 4, 6 & P22, -1, 3. Vector equation of a line passing through two points with position…

Q: Find parametric equations for the lines in The line through (1, 1, 1) parallel to the z-axis

A: Given: 1,1,1 parallel to z-axis

Q: Find the symmetric and parametric equation of the line that is the intersection between the planes…

A:

Q: 3. Find the parametric equation of the line passing through the point (-1,0, 3) and in the direction…

A: Equation of the line passing through the point (-1,0,3) in the direction N(7,0,-2) is   ( x+1)/ 7 =…

Q: Find parametric equations for the line described below. The line through the point P(2, 3, 3)…

A: To find the parameter equation of the line passing through point P(2, 3, 3) parallel to the vector…

Q: Find parametric equations for the lines in The line through the point (3, -2, 1) parallel to the…

A:

Q: Find the parametric equations for the line through the point P = (-1, 4, -4) that is perpendicular…

A: Normal vector perpendicular to the plane 2x−4y−2z=1 is: (2, -4, -2) The line passes through P = (-1,…

Q: Write the parametric equations of the line through the point P (-6, 4, 3), that is perpendicular to…

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Q: Find parametric equations for lines passing through point Pand parallel to vector n: (а) Р(3, — 1,…

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Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

A:

Q: Find a parametric equation for the line through the point (- 1, - 5, - 2) and perpendicular to the…

A: The parametric equation of the  line through the  points P0x0,y0,z0 and Plane a, b, c is x=x0+at…

Q: Find parametric equations of the line passing through (3, −1, −3) and perpendicular to the line…

A: The required line is passing through the point 3,-1,-3 and is perpendicular to 3,-2,4 and 0,3,5.…

Q: A line has parametric equations x = 2 +3t, y = 1 + 2t, z = -6 - t, fort that belongsto the family of…

A: given parametric equation of line  is x=2+3ty=1+2tz=-6-t

Q: Find parametric equations for the line described below. The line through the point P(1, 1, -2)…

A: Use equation of parametric line and put value

Q: Give the parametric and symmetric equations of the line that passes through the point (5,−1,3) and…

A:

Q: Find a vector parallel to the line defined by the parametric equations x(t) - 3 – 9t y(t) 2 + 7t…

A: Need to find parallel vector and point on the line

Q: The line L is parallel to the plane x+y+z=2 and is perpendicular to the vector (-1,1,–2). If the…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.