4. Write parametric and symmetric equation of the line passing through the point (-3, 5, 4) in direction of < 3, -2, 1>.

Q: Find a parametric equation of the line passing through the point (3,-1,-3) and 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: Find parametric and symmetric equations for the line satisfying the given conditions. Through the…

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Q: Find the symmetrical equation of the line perpendicular to the plane passing through the points…

A: Given problem:- Find the symmetrical equation of the line perpendicular to the plane passing through…

Q: Find a parametric representation of a straight line through (1,1,1) and (4,0,2), and sketch it.

A:

Q: find parametric and symmetric equations for the line through (1,-1,2) and parallel to the line…

A: From the line x+2=y-1=z  we get the direction ratio=(1,1,1)The direction ratio of the parallel line…

Q: Find parametric equations for the line that passes through the points P(-3,7,9) and Q(4, 1, -5).

A: The given points are P-3,7,9 and Q4,1,-5. The line containing the point x0,y0,z0 and parallel to the…

Q: 2) Find the parametric and symmetric equations for the line through (1, –1, 1) and parallel to the…

A: Solved below

Q: Write down the equation of any plane through the origin.

A: Write down the equation of any plane through the origin.

Q: Find parametric equations to represent the line segment from (-2, 7) to (3, -1).

A: on solving this we get

Q: Find the parametric equation of the lines passing through (4, -2, 5) and (-3, 0, 6)?

A: Consider the two given points (4,-2,5) and (-3,0,6). The objective of the problem is to find the…

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

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Q: Find symmetric and parametric equations of the line through the two points (−3, 5, 2) and (1, −3,…

A:

Q: Find parametric equations of the line that is perpendicular to both i = (1,0,0) and i = (1,1,1) that…

A: Given that: i=&lt;1, 0, 0&gt;v=&lt;1, 1, 1&gt;and P(1, -2, -1)

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: Give the equation of the line in vector form, parametric form and symmet The line through the point…

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: Find parametric equations for the line through P(8, −7, 9) perpendicular to the vectors A = ⟨3, −1,…

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

Q: Determine the parametric and symmetric equation of line passing through the points (1, –3,2), (5,…

A: To find the parametric and symmetric equation of line passing through the points (1,-3,2) ,(5,-2,8)…

Q: 17. Explain why it is not possible for a line in three-space to be represented by a scalar equation…

A:

Q: Find the parametric equation of the line through the points (−3, −2, 1) and(−1, −3, −1)

A: Given:

Q: Find a set of parametric and symmetric equations of the line satisfying the following Passing…

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 a parametric representation of the solution set of the linear equation.−3x + 4y − 2z = 1

A:

Q: Give the parametric equation of the line that passes through the point (−4, 3, −5) and is…

A:

Q: Find parametric equations for the lines in The line through P(-2, 0, 3) and Q(3, 5, -2)

A: To find the parametric equation for PQ

Q: Find parametric equations for the line containing the points P(0,2,0) and Q(1,3,5).

A:

Q: The plane with equation = (6,-2,3)+a(1,3,0) + b(2,2,-1) intersects the y- and z- axes at the points…

A: Vector equation of line is r'→=a→+αb→-a→where, a→ is the position vector of the point A.…

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: Write vector and parametric equations of the line. a) parallel to the line x+6y = 1 and through the…

A: We know that the line equation of the line that passes through point (ro→), and parallel to vector…

Q: Find parametric equations for the lines in The line through P(1, 2, -1) and Q(-1, 0, 1)

A:

Q: Give the general equation of the plane containing the point (3,-1,4) and x 2-2 perpendicular to the…

A: The given equation of the linex2=y=2-z-3which can be written asx-02=y-01=z-23.The given point is…

Q: Find parametric equations for the line in which the planes 3x - 6y -2z = 15 and 2x + y - 2z = 5…

A: Equation of plane - 1,3x-6y-2z = 15 Normal vector of plane 1 = n1 = 3,-6,-2…

Q: Find the equation of a plane passing through points (3,2,2), (1,0,-1) and parallel to the line…

A: Equation of plane is calculated as below:

Q: 4- Find parametric and symmetric equations of the line passing through the points (1,- 1,2) and…

A:

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

A:

Q: Determine the parametric and symmetric equations for the line through the given points (2, –7,5),…

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: 4. In general, if the line y is rotated 90° about (0, 0), explain how you can find the equation of…

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Q: find a set of parametric equations of the line through (2,8,3) and (11,20,21)

A: The line through the points (2,8,3) and (11,20,21)

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

A:

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

A:

Q: Find an equation of the plane that passes through the point (18, -16, 9) and contains the line given…

A:

Q: Find the equation of a plane through the point (3, -2, 8) and parallel to the plane z = x+ y. Leave…

A:

Q: give the equation of the line in vector form, parametric form and symmetric form. 11) The line…

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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: Find parametric equations of the line through the given points. (a) (2, −3, 1), (4, 2, 5) (b) (−3,…

A: The parametric form of a line passing through two points px1,y1,z1 and Qx2,y2,z2.Fix P-base…

Q: Determine the cartesian equation of the plane having x-intercept of 2, a y-intercept of 5 and a…

A: To find the cartesian equation of the plane