The vector V has initial point P and terminal point Q. Write V as a position vector. P=(-9,-3), Q=(-4,-7)

Q: the a position vector( r) locates at points x-35 and y=45 determine the value of r and direction of…

A: Here we use vector application.

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: The vector v has initial point P = ( -1, -2) and terminal point Q = (3, 5). Write v in the ai + bj…

A: The initial point P and the terminal point Q  of a vector v are : P = -1,-2Q = 3, 5 To evaluate :…

Q: If P, is (1, 2, –3) and P2 is (-4, 0, 5), find (a) The distance PP2 (b) The vector equation of the…

A: Given,             P1=(1,2,-3)             P2=(-4,0,5)

Q: For the pair of vectors, find U+V, U-V, and 3U-4V. U = , V = U+V = ? U-V = ? 3U-4V = ?

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Q: How do you subtract two vectors algebraically? Geometrically?

A: Let the two vectors be a→ and b→. To find the difference between two vectors algebraically, that is…

Q: Determine whether or not the following pair of vectors are parallel, perpendicular or neither. a)…

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Q: Given vectors a = (-4,3) and b = (2,9), what are the components of vector -a – b? (а) (-6, —6)…

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Q: Find the unit vector directed   from (2, -5, -2) toward (14, -5,3)   a. a = 0.3858, +0.923a, b…

A: Here we have to find a unit vector.

Q: c) The vector from the origin to the point A is given as (6, -2, -4), and the unit vector directed…

A: This is complicated problem.So I can do it in Advanced Mathematics.

Q: a) pair (4,-6) & (-6,9) b) pair (2,-3,1) & (4,-6,3) c) pair (6,-5,1) & (3,4,2)

A: To determine whether the following pairs of vectors are parallel, perpendicular or neither. a pair…

Q: If the vectors ü =[-9, a, 15] and V= [b, 2, - 5] are collinear, then: a = 6 and b = -3 Oa = -6 and…

A: by using collinear concept

Q: Which of the following vectors is/not perpendicular to the line whose direction vector is (2,-3,5)?…

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Q: If u =(3, 3), v=( 13. -7), and 2w +3u-v= (4,-4) then what is the coordinate of vector w?

A: Since u=(3,3), we have u→=3i→+3j→ Also, since v=(13,-7), we have v→=13i→-7j→ Let w=xi→+yj→ Given…

Q: 一1- 2. Write 3 as a linear combination of the vectors +

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Q: Write w = (3, -1,1) as a sum of two vectors, one parallel to v = (2,1,2) and the other perpendicular…

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Q: Express the equation of the line that passes through the point p (2,6, -7) and v (3, -4,1) the…

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Q: c) Is the point (4,3, 3) on the line (L1) ? Why or why not ? d) Determine the vector equation of the…

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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: (c) Same direction as the vector from the point A(-1,0,4) to the point B(4,3, 3). 1 i + 2 w = k - 6.

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Q: Find the sum of the given vectors. (2, -4), b = (-1, 7) a + b = Illustrate geometrically.

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Q: Write the vector and Cartesian (standard) equation of the line, given a point and slope below.…

A: Definition used -    Vector equation of a line -                 r=a+λd      Cartesian equation of a…

Q: The vector v has initial position P and terminal point Q. Write v in the form ai+​bj;that​ is, find…

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Q: Draw the vector V that goes from the orogin to the given point. Then write V in component form (a,b)…

A: initial point <0,0> and final point <-3,5> then vector component (a,b)=final point -…

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: 3) Which two vectors are perpendicular? a = [-10, -2, -4] 6= [3,-3, 6] = [5, 1, -2]

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Q: Find an equation of a line that passes through a point P (-3, 5, 4) and is parallel to the given…

A: Given problem:- Find an equation of a line that passes through a point P (-3, 5, 4) and is parallel…

Q: Given vectors đ = (2, – 2,–2) and b = (4,0,– 1), find 3đả +2b Select one: (6, -2, -3) (16, -4, -7)…

A: According to question given that a→=(2,-2,-2)b→=4,0,-1We have to calculate 3a→+2b→

Q: Find the direction of the resultant vector. (-25.6, 7.7) - [?]° (-11, -9.8) Round to the nearest…

A: topic - vectors

Q: The vectors a (4, -10,8) is perpendicular to the vector b (8,-8, -14). Select one: True False

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Q: Given vectors ā = (-1,-2),5 = 2,–1), find 4a-35. (10,5) (-10,-5) (-10,5) (10,-5)

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Q: Write w = (3, -1,1) as a sum of two vectors, one parallel to v = (2,1,2) and the other perpendicular…

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Q: What is the component form of the vector that translates the top triangle to the bottom triangle? 4…

A: Top trinagle vertices is given by (-2,4), (-2,1), (2,1)

Q: 1. If a and b are two non-parallel vectors and the position vectors of P, Q and R are 1 3, a +2b,…

A: The equation of the line PQ is : PQ=Q-P=12a+34b-(a+2b)=12a+34b-a-2b=-12a-54b The equation of the…

Q: Write down the line equation a) given a point Q and a vector v. b) given two points R and Q.

A: Since, our aim is to find the equation of a line that is :-(a) passing through a given point Q and a…

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

A: As per Bartleby guidelines, if multiple questions asked at a time and specific question is not…

Q: 2. Translate the triangle with vertices A(3, 4), B(2, − 1), and C(4, 12) along the vector (-1, 3).…

A: translate the triangle with vertices A3,4 , B2,-1 , C4,12 along the vector -1,3. find the…

Q: For the pair of vectors, find U + V, U − V, and 2U − 3V. U = −9, 0, V = 0, 5

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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: -6 --5 Let z = and y . Find the vectors v = 47, ủ =i + ÿ, and w = 47 + y. w = || ||

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Q: a = (4, 3), b = (4, -3), c = (-3, 4) and d = (-3, -4) Which of the following pairs of vectors is…

A: Topic:- vector algebra

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

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

A: We can find vector equation of the line segment from Q to R .

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: Which vector gives the direction vector of a line given by vector v = (-3,-5, 1) + t(7,2,3)

A: Let us consider the vector form a line r→=a→+tb→ Here, a→ is a position vector and, b→ is a…

Q: For the pair of vectors, find U+V, U-V, and 2U-3V. U = , V = U+V = ? U-V = ? 2U-3V = ?

A: givenU=<-3,0>U=-3iV=<0,2>V=2jU+V=-3i+2jU+V=<-3,2>U-V=-3i-2jU-V=<-3,-2>

Q: For the pair of vectors, find U + V, U – v, and 3U – 4V. U = (5, 2), V = (5, -2) %3D U + V = U - v =…

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.