find a. the direction of vector P1P2 and b. the midpointof line segment P1 P2. P1(-1, 1, 5) P2(2, 5, 0)

Q: Let Q be a point in R°. Consider a line passing through P with direction vector d.What is the…

A: Given :- Let Q be a point in ℝ3. Consider a line passing through P with direction vector d→. To…

Q: Which of the following vectors is parallel to the line 7x+ 14y = 20? %3D (-6,3) (8,-16) (2,4) 0.…

A: We first find the slope of the line using y=mx+b form

Q: Given the points P(-3, 4) and Q(-1, 5), express the vector PQ in terms of i and j.

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Q: Given the points D(-8, 7) and C(2, –6), determine the position vector of CD.

A: The given points are C2,-6 & D-8,7. For the position vector CD→, the initial point is C while…

Q: a) Find the vector that is parallel to the tanget to the circle x2 +y? = 100 at the point (3,4).

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Q: For the vector a,b,c ∈ IR3 a+b+c=0 and ===1 then ?

A: We will first assume a=(a_1,a_2,a_3),b=(b_1,b_2,b_3) and c=(c_1,c_2,c_3).Now will will use…

Q: Draw the standard coordinate axes on the same diagram as the axes relative to u and v. Use these to…

A: To Determine: Draw the standard coordinate axes on the same diagram as the axes relative to u and v.…

Q: Which vector has an x-component with a length of 4? -5 A. C B. b C. d O D. a PREVIOUS 19 10

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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: 2. Use the given equation of a line to find a point on the line and a vector parallel to the line.…

A: Given query is to find the point and the parallel vector.

Q: 2. Use the given equation of a line to find a point on the line and a vector parallel to the line.…

A: topic - point and vector parallel to line

Q: Given the points Q(-5, –4) and P(-3,7), determine the position vector of PQ. Select the correct…

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Q: 2. Use the given equation of a line to find a point on the line and a vector parallel to the line.…

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Q: Let P,(1,2, 1)and Pz = (4,2,4). a. Find the direction of the P,Pz b. Find the midpoint of line…

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Q: Q. 6: Suppose the sides of polygon represent vector arranged head to tail. Calculate the sum of…

A: Given: the sides of polygon represent vectors arranged from head to tail. To calculate: the sum of…

Q: For the points P = (- 4, 3) and Q = (5, - 1) write the vector v represented by the directed line…

A: For the points P = (- 4, 3) and Q = (5, - 1) Now we find vector V represented by the directed line…

Q: A line L has a direction vector v = 2i + 4j + V5k and passes through the point Q %3D Find the…

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Q: If the line through the point (3,-4,-1) and parallel to the vector i+j+k. The equation of the line…

A: We can answer the question as false or true as below

Q: 10. If M is the midpoint of the line AB where A has coordinates (- 6,5) and B has coordinates (4,3).…

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Q: Given the following ordered pairs: A(-2, 2), B(-2, –4), C(4, 4), and D(4, –2), what vector describes…

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Q: Evaluate zdæ + zædy + (z + y)dz where C is the line segment from (2, 2, 1) to (– 1, 0, – 2). | Check…

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Q: Given three points P (1, 4, 6), Q (-2, 5, -1)  and R (1,  -1, 1) Find a vector perpendicular to the…

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Q: Given the points P1 (5, 4, 3), P2(1, 5, –2) and P3(10, –2, 5). Find the vector that is orthogonal…

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Q: For the line that contains the points P(-1, 2, 4) and P2(3, 4, 7), find a) a direction vector. b) an…

A: The line contains the points P1-1, 2, 4  and  P23, 4, 7. a). Direction vector is, P1P2→=3--1, 4-2,…

Q: Given the following vectors: 3 1 4 4 plot the vectors u, v, uto, u-o, and -2u+o. Use the dropdown at…

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Q: Consider the graph provided find the length of the vectors u and i

A: Solution and Explanation is given below....

Q: Given perpendicular vectors a = (5,3,-1) and 6=(2,2,k), find ||||.

A: Given perpendicular vectors a→=5, 3, -1,     b→=2, 2, k   To Find: b→

Q: Owing vectors is perpendicular to the line L: 2x +3y- 6 = 0 2i + 3j O 2i - 3j (후 +1를 이 rious

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Q: Q1.If à = 2a, + 2a, – a, and B = 3ax + 2a, – 6a, are vectors, find (a) Ả · B (b) Ả× B (c) Angle…

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Q: Q2. Let P,(1,2,1)and P2 = (4,2,4). a. Find the direction of the P,P2 b. Find the midpoint of line…

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Q: Find the value of a in the vector v (a, b) if b = 9 and ||ū|| = 15 v is in Quadrant I

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Q: Identify the DIRECTION VECTOR and a POINT on each of the following lines: (а) 7 = (3,4) + t(2, 1),…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Find the equation of the line that goes through the point A = (5, –3, –4) and is parallel to the…

A: Given that the line passes through the point A=5,-3,-4 and is parallel to the vector  v=-2,4,3 The…

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: For the line €: (x, y, z) = (5, - 3, 2) + n(1, 2, - 2), find a) a point of the line. b) a direction…

A: Given parametric equation of line - x, y, z = 5,-3, 2+n1, 2,-2x, y, z = 5,-3, 2+1n, 2n,-2nx, y, z =…

Q: Let P1(1,2,1)and P2 = (4,2,4). a. Find the direction of the P1P2 b. Find the midpoint of line…

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Q: 4) Which of the following vectors is parallel to the line L: x = 1 -t, y = 2 + 3t, z = 5 + 2t? a)…

A: According to the guidelines we are answering first question. Please repost the remaining.…

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: Identify the DIRECTION VECTOR and a POINT on each of the following lines: (a) 7 = (3,4) +t(2, 1),…

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Q: For the line €: (x, y, z) = (2, 3, 4) + n(3, - 2, 5), find a) a point of the line. b) a direction…

A: the given line is: l:x,y,z=2,3,4+n3,-2,5 we have to find: (a) a point of the line. (b) a direction…

Q: Given the points P(4, 4, 3), P(1, 4,0) and P3(10,0, 2). Find the vector that is orthogonal…

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Q: (a) Oppositely directed to v = (3, -4) and half the length of v. %3D W3= (?, ?) (b) Length V5 and…

A: To Find : a) A vector which is oppositely directed to v=<3,-4> and half the length of vb) A…

Q: Find the vector equation of the line (d) through (6, −3) and parallel to the line through (5, −1)…

A: First, we find the slope of the line  through (5, −1) and (2, 11) Direction vector is=(2, 11)-(5,…

Q: Calculate the slope m of the following vectors and / or line segments in a plane (can be complex) a)…

A: Topic - slope of vector and line Note : As per bartleby guidelines,we are supposed to answer only…

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

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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 length and direction (when defined) ofu * v and v * u. u = i + j - k, v = 0

A: Consider the given vectors and rewrite vector v in terms of i, j and k. u=i+j-kv=0v=0i+0j+0kTo find…

Q: A line L has a direction vector v = i+ 3j+ V6k and passes through the point Q. Find the distance…

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.