Describe the graph of the equation: r= 3ti – 6j + (1- 31)k. [Choose the correct answer.] The equation is a line in 3-space through the point (0, – 6) and parallel to the vector 3i 3k. O The equation is a line in 3-space through the point (3) and parallel to the vector - 6j - k. O The equation is a line in 3-space through the point (0, - 6) and perpendicular to the vector 3i + 3k. O The equation is a helix in 3-space containing the point (0, - 6) and above a circle with radius 6.

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

A: To Find an equation of the plane that passes through the given point (1, 3, -7). First, convert the…

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Q: Gandalf the Grey started in the forest of Mirkwood at a point with the point with coordinates…

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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: Given initial point P1 = (-2, 3) and terminal point P2 = (6, 5), write the vector v in terms of i…

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

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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: 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: d = (-3, –2) and 5 = (2,4). Represent ä – b using the head-to-tail method. Use the Vector tool to…

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

A: The equation of the plane P which is normal to the vector n and passes through the point R is given…

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

A: For a given vector v→, length of the vector is denoted by v→  and direction vector is obtained by…

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

A: Topic = Geometry

Q: Determine the vector, parametric, and Cartesian (Scalar) equations for the line that passes through…

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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: 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 for the line through the point A = (5, -2, 1) at t = 0. and B = (-3, 1, -2)…

A: We have to find vector equation

Q: Gandalf the Grey started in the forest of Mirkwood at a point with coordinates (3,-1) and arrived in…

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Q: Q:2) Find a vector that is parallel to the line whose equation is 5x-4 4-2z = 3 - 6y = 7 5

A: The given problem is to find the vector that is parallel to given parametric line equation, we have…

Q: The direction vector of the equation below is : c=−2+3t y = 3+2t O [3, -2] O [3, 2] O [2, 3] O 1-2,…

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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: Gandalf the Grey started in the Forest of Mirkwood at a point with coordinates (3, -2) and arrived…

A: Scalar product

Q: Match the vectors p, q, r, 8, and t with one of the combinations of the i and vectors from the…

A: We have to match

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: 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…

A: Here, the required plane is perpendicular to the vector n=-2i+8k.

Q: Fined the vector component of A=3xa, +2 ya, + za, in the direction of the vector B= 3a, - 2a, at the…

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

A: Explanation of the answer is as follows

Q: Describe the graph of the equation: r = 4ti – 5j + (1 + 2r)k. [Choose the correct answer.] O The…

A: Introduction: In three dimensional Euclidean space, a line can also be represented. An equation of a…

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Q: Solve for the vector x in terms of the vectors a and b. x + 2a - b = 3(x + a) - 2(2a - b)

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Q: Find the equation of the perpendicular bisector of the line join- ing the points with position…

A: From the given information we can draw this figure

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Q: Given vector A = 2а, + ба, За, and vector - B = – 3a, – 4a, – 5a,. Simplify the given mathematical…

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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 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 component form of the resultant vector. 6) а-(-6, -12) g = (-11, -9) Find: -a + g a

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Q: You have two vectors: Ā = 7 ĵ B = 9 ĵ What is the y-component of the vector A+ B ?

A: let r=xi+yj+zk then x component of vector is i y component of vector is j z component of vector is k…

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: Match the vectors p, q, r, s, and t with one of the combinations of the u and v vectors from the…

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Q: The vector u = (3180, 2650) gives the numbers of hamburgers and hot dogs, respectively, sold at a…

A: We have  determine dot product