Shaw that if Pu: R"> R^ is a onto a line and VER then; prejeetion

Q: Draw a line through all points with an abscissa of 3.

A: To draw a line through all points with an abscissa of 3.

Q: Evaluate the line integral 6ydx + 4xdy where C is the straight line path from (2, 3) to (5, 5). Jc…

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Q: Theorem: Let P be the pencil of all lines through point P. Then REF(P) 0(2) and ROT(P)=SO(2).

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Q: Which of the fallowing lines are parallel to line ur(3,0,1,5.2) O (3,0,-1,5, 2) O (6.0,-2,-10,4) O…

A: If we multiply any number to vector that are parallel vector

Q: What are the Secant Lines?

A: If we join any two points on a given curve then the joining line is called the Secant Line. Secant…

Q: Compute ye" ds where C is the line segment from (1, 2) to (4, 7).

A: We have to compute ∫Cyexds where C is the line segment from 1,2 to 4,7. We have, x-14-1=y-27-2=t

Q: Decide if this statement is valid or invalid. If 3 points are on the same line, then they are…

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Q: Find the Point). tongent line is ho FLx) =X %3D

A: given

Q: A tangent segment is actually a line and not a segment. O True O False

A: Please see the answer below

Q: Evaluate the line integral 4ydx + 2xdy where C is the straight line path from (4, 2) to (8, 4).…

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Q: Let / be the line (1,-1, 1) + t(0, 2, 1). Let Q = (1,0, 1). Find the distance from Q to l. perp PQ…

A: We have to find the perpendicular distance between point Q and line l. Point Q is 1, 0, 1 and line l…

Q: A line can intersect a circle at three distinct points. O True O False

A: We have to find if the given statement is true or not.

Q: Find the envelope of the family of straight lines, which together with the line segments intercepted…

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Q: Show that these two lines are coincident. L1: [x, y, z ] = [1, 5, − 2] + s [1, 7, − 3] L2: [x, y, z…

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Q: This

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Q: Let l be the line (1, –1,1) + t(0, 2, 1). Let Q = (1,0, 1). Find the distance from Q to l. %3D…

A: Given the line equation l is 1,-1,1+t0,2,1 and the point is Q=1,0,1. Find the distance from Q to l.

Q: ---2-1 N4

A: The given graph is:   Use the distance formula to find the length of the line segment.

Q: 2. Prove that the line joining the midpoint of a median to a vertex of the triangle trisects the…

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Q: Find the EXACT distance (do NOT round) between these two lines. L1: [x, y, z] = [1, 3, 7] + t[–1,…

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Q: Let L, be the line through the origin and the point (5, 0, –1). Let L, be the line through the…

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Q: Let I be the line (1, -1,1) + t(0, 2, 1). Let Q = (1,0, 1). Find the distance from Q to l. %3D

A: Given line is                                                       l:1, -1, 1+t0, 2, 1 vector…

Q: Show that the embedding of part (g) takes lines to "lines."

A: (h) We have to show that lines from ℝ2 maps to lines in P2. Lines in ℝ2 will be of the form ax+by=0.…

Q: There are infinitely many secant lines from an exterior point to a circle. True or False? O True…

A: From a point outside the circle, infinite secants can be drawn to the circle

Q: essentially results in the avoidance of the entire line segment. Consider the Figure 3. Show th (a,…

A: Objective: To show that, λ=x-a1c+y-b1d  c=(a2-a1)(a2-a1)2+(b2-b1)2 d=(b2-b1)(a2-a1)2+(b2-b1)2…

Q: I need a paragraph proof for proving that a circle and a line cannot intersect in three or more…

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Q: Compute ye*z ye z ds where C is the line segment from (0, 6,-1) to (4, 1, 5).

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Q: Find a parameterization for the line segment from (2, -1) to (1,4).

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Q: A line that intersects a circle at only one point is called a tangent. O True O False

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Q: Evaluate J. vdr + zdy+xdz). egment C: from (4, 5, 6) to (4, 5, 0). where C consists of the line…

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Q: Family OF lines parring through (0, -4)

A: Given that family of lines passing through (0,-4). To find differential equation based on above…

Q: What is the distance between point (2,4,5) to line r = (1,2,5) + t (-1,2, -1)?

A:

Q: Prove that for each point the are at least two straight lines that pass through it, accordir to the…

A: There is a point and we have to show that 2 or more lines can pass from that point.

Q: Find the intersection of the lines 2 x space plus space 3 y space equals space minus 7 and 3 x space…

A: From the given statement the lines are 2x +3y = -7 and 3x - 2y = 9.Solving the equations as follows.

Q: What is a secant line?

A: we have to tell what is a secant line.

Q: construct a line that goes through point A and is perpendicular to a line.

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Q: use Green Theonem for Ci btwn lines 8-X

A: Green's theorem gives a relationship between the line integral of a two-dimensional vector field…

Q: Consider any eight points such that no three are collinear.How many lines are determined?

A: Given :                         There are 8 points    To find :                      To…

Q: Prove an isometry on C maps parallel lines to parallel lines without using the geometric concept of…

A: We need to prove that an isometry on ℂ maps parallel lines to parallel lines. We will use the method…

Q: 10. Show that these two lines are coincident. [x, y, z]= [1, 5, -2]+s[1, 7, -3] [x, y, z]=[-3, -23,…

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Q: Consider the integer points on the xy-plane. How many paths are there from (0,0) to (4,-2)? Only…

A: Consider the integer points on the XY plane. To find paths from (0,0) to (4,-2). Here only down and…

Q: 13. XPOQY and AOB are straight lines. PO =0Q and 21 = L2. Prove that ZA = ZB. B. A

A: That's easy. Have a great day!!!

Q: 14. How many straight lines can be formed by joining 12 points on a plane out of which no points are…

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Q: Describe a test for symmetry with respect to the line θ = π/2 in which r is not replaced.

A: # Test for symmetry about the line  θ=π2,   Replace  (r,θ)  by  (-r,-θ) in the given polar equation…

Q: The students in Ms. Logan’s class were asked to construct a line perpendicular to line through point…

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Q: Which is a subset of a line with one endpoint and extends infinitely in one direction?

A: A ray is a subset of a line that has only one endpoint and extends infinitely in one direction  If…

Q: Compute yds where C is the line segment from (1, 2) to (4, 7).

A: We know that,       . Now,

Q: 2. What is the term for part of a line that is bounded by two distinct endpoints and contains every…

A: We know that a line segment is a part of a line that is bounded by two distinct endpoints and…

Q: It is a subset of a line that has only one endpoint and is extended endlessly in one direction.a.…

A: We know that Line has two endless direction means we can extend the line infinitely from both sides…

Q: 13. . There are 8 points in a plane out of which 3 are collinear. How many straight lines can be…

A: There are 8 points in a plane out of which 3 are collinear and 5 are non collinear points.

Q: prove that line 1 is parallel to line 2. Prove: L1 || L2 4 3. 2.

A: