(a) Find all the three forms of equations for the line that passes through the points A(3,-2,0) and B(1,4,2). Use vector < 3,-2,0 > as the position vector.

Q: 1. Find the vector equation of the line joining the points whose position vectors are -2ŷ+2 and – 2ŷ…

A: Note: " since you have posted multiple question. As per our guidelines we are supposed to solve only…

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

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Q: Write down the position vectors of any two points on the line ˜ r · (3i − 4j) + 2 = 0 and hence find…

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Q: Find the resultant force of two vectors F = 5î + 2j and F = -2î - 8j. Graph the two vectors as well…

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

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Q: 3. Determine the vector equation for the line with symmetric equations*=3+22=1

A: Given: Symmetric equation of line: x-34=y+25=z-13 To find: Vector equation of line.

Q: Find the direction vector of the line joining the points (a) A(7, 6) and B(-2,5), (b) with position…

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Q: Find the component form of the resultant vector. 1) u =(-11, 2) b=(10,-4) Find: -u - b

A: As per guidelines, we'll solve only one question if multiple questions are asked. If you need any…

Q: find the component form of the vector. The sum of AB and CD, where A = (1, -1), B = (2, 0), C = (-1,…

A: Given that A = (1, -1), B = (2, 0), C = (-1, 3), and D = (-2, 2)We have to find AB + CD.

Q: 10. Find the vector equation of a line whose symmetric equations are x-1 y + 3 z- 1 %3D %3D 3…

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

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

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

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Q: Which of the following equations correctly expresses the relation between vectors A, B, and C shown…

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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 equation of the following lines in the form specified in bold. a) A vector equation of a…

A: As per our guidelines we are supposed to answer only one question i.e. question no (a). For the…

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

A: Given: (2,3,-6) Perpendicular to j vector

Q: Find a vector equation of the line passing through the points P(-2, 1, 3) and Q(3, 0, -2). 1+t ,te…

A: The vector equation of the line passing through the points A(x1,y1,z1) and B(x2,y2,z2)  is given by;…

Q: 6. The x-component of a vector is 4 and the y-component is -6. What is the magnitude and direction…

A: topic = vectors

Q: A line has y-intercept 11 and z-intercept -13. Find a vector equation of the line.

A: The line has y-intercept 11 and z-intercept -13. So the line passes through points A(0,11,0) and…

Q: 1. Determine whether the points A(3,4,-1) and B(1,-1,0) lie on the line with vector equation…

A: Given vector equation :

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

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

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Q: Determine the vector equation of a line that is perpendicular to the line, p = |-4, 4, 9 + t|-1, 3,…

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

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

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Q: a) Determine whether or not the point R(-3, 4, -2) lies on the line F = [0,20,4]+t[1,4,–2]. b)…

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Q: х-2 у-4 Convert the symmetric equation of the line l: to the vector equation. 6. 7

A: Here we have to convert the symmetric equation of the line l:(x-2)/6=(y-4)/7 to the vector equation.

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

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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 position vector of the point of intersection of the line joining the points whose position…

A: Given: The position vector of the points 5i^-4j^ and -3i^+4j^; -13i^+4j^ and -5i^+j^

Q: Find the position vector for the vector v, whose initial point is (0, −2) and terminal point is (5,…

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Q: Let P(4, - 3) and Q(- 1,2) be the initial point and terminal point, respectively, of vector V. Find…

A: Solution  Find position vector

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

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Q: Let / be the line through the point with coordinates (-1,2,0) in the direction of the vector Which…

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

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Q: a) A vector equation of a line that goes through the points P(1, -3, 2) and Q(9, 2, 0)

A: According to Bartleby guidelines we can answer only one question at a time. To find vector equation…

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 of the plane that passes through the given point and is perpendicular to the given…

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Q: Find the vector equation of a line ?L going through the points (4,−2)(4,−2) and (4,−3)(4,−3).

A: given information : r0=(4,-2)r1=(4,-3)equation of line=r0+t(r1-r0)

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

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Q: Write the vector form of the line 4x-2y=3. Use this vector form only, and then plot the line

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Q: 3. Determine the vector equation for the line with symmetric equations X-3.922.231.

A: Compare the given equation with x-x1a=y-y1b=z-z1c so, we get the values x1=3y1=-2z1=1a=4b=5c=3

Q: Find the vector equation of the line passing through the point (1, 2, - 4) and x-8 y+19 z-10 x-15 у…

A: To find the equation of line perpendicular to the given lines first we find vector perpendicular to…

Q: In vector form (as in Exercises 5 and 6), find an equation for the line through the point (4, – 3,…

A: Given: The line passing through the point 4,-3,7 and with direction vector 4,2,-3. Concept used: The…