Which of the following vectors is the scalar multiple of z-(4, 3, -2) ? Ou- (-28, -21, -14) Ou-(-24, -18,12) Ou(-24,-18.-12) Ou- (-24, -18, 10)

Q: Three vectors are defined by position vectors defined m=(5,4,2), n=(-1,-3,6) and p=(x,-y,-z), where…

A: We have to calculate the following vector.

Q: The component of the vector (-5, 0, –3) onto the vector (3, –4, –2).

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Q: Add the vectors u (0, 3) and i = (- 2, – 1) graphically. Your graph should include u, v and the…

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Q: The vector v= (6,-4, 0) starts at the point P = (-2,5, -1). At what point does the vector end?…

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Q: What is the component form of the vector with an initial point of (-2, 5) and a terminal point of…

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Q: 1. Find a unit vector that has the same direction as the vector (-4, 2,4).

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: The normal vector to the vectors u = (2, 1, 1) and v = (1, -1, 3) is:    4i - 5j + 3k  4i - 5j -…

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Q: 1. Find the vector component of the vector ū (-3, 6, 2). [28, 63, 0] in the direction of = %3D

A: We have to find vector component of u =[28, 63,0]  along the direction v=[-3, 6,2] Vector component…

Q: Express the vector (-1, 0) as a linear combination of the vectors (-1, - 1) and (-1, 1). (-1,0) =…

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Q: What is the component form of the position vector for a vector with an initial point of (-1,0) and a…

A: We have to find component form of position vector.

Q: Show that the vectors ⟨1, 2, 3⟩, ⟨1, 1, 0⟩, and ⟨3, 4, 3⟩ lie in the same plane

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Q: (c) Are the vectors = (3, 1, 2, 1), v2 = (-1,0,1,0), 03 independent? Explain why. (3,0,0,3), v4 (5,…

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Q: The two vectors a = (-1,2,-2) and b = (2, -4,-5), are not parallel but are orthogonal. Select one:…

A: Using algebraic operation

Q: Find a vector a that has the same direction as (-8, 5, 8) but has length 3. Answer: a =

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Q: Do the vectors (1, 0, 0), (0, 1, 0), and (2, 3, 0) lie on the same plane? Briefly explain how you…

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Q: Express the vector of the form v=vi+ v2j + v3k. AB if A is point (-9, -2, 1) and B is point (-4, -9,…

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Q: (a) Are the vectors (1,3, 2), (2, 1,3) and (3, 2, 1) linearly independent? (b) Are the vectors (1,…

A: We have to check

Q: Let a = (10,-1,1) and b = (5,-3,-9) be vectors. How do I find what the image is asking for?

A: (A) ⇒Projb→a→=a→·b→a→⇒Projb→a→=(10, -1, 1)·(5, -3,…

Q: 1. Find the resultant of the vectors A and B. A = 8a, + 7a, + 2a, В - - За, — 8а, - ба, Draw the…

A: Given that: A→=8ax+7ay+2azB→=-3ax-8ay-6az

Q: Select all vectors perpendicular to the vector (1, 3, -5) O (2, 1, 1) O (0, 5, 3) O (1, 1, 3) O (4,…

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Q: The plane that contains the points (-2,1,0), (1, 0, –1) and (0, –1, 1) is orthogonal to which…

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Q: Determine which vectors that are orthogonal to (-3,- 6)? (-4,2) and (- 1,3) (-10, 5) and (-3, 6) a.…

A: Since your question has multile question we will solve the first question for you.   Find the…

Q: Select all vectors perpendicular to the vector (1, 3, -5). O (2, 1, 1) O (0, 5, 3) O (1,1, 3) O (4,…

A: Given query is to find the perpendicular vectors to the given vector.

Q: Write the vector (7,8, –8) as a linear combination (if possible) as of the vectors (-1,1,2), (2,3,…

A: See answer below

Q: 1. For non-zero vectors, a and b, show that axb =a5-(ā • 5} . %3D

A: For non-zero vectors a→ and b→ we have to show that: a→×b→2=a→2b→2-a→·b→2 Assuming, a→=ib→=j Putting…

Q: Select all vectors parallel to the vector (1,-3, 5). O (2, -6, 10) 0(-1,3,6) - 15

A: here to we need to find the parallel vectorsto the given vector from the given options. the solution…

Q: Show that the vectors (1, 1, 1), (1, 2, 3) and (3, 3, 4) are linearly independent?

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Q: The normal vector of 2x + By - 16.7z = -8 is: ○ [2, 뮤, -16.7, 8) ① [호, 꽃, 16.7, -8] ① [올, 꽃, -16.7]…

A: We have given equation of a plane  92x+133y-16.7z=-8 Comparing this with the equation  lx+my+nz=d We…

Q: 9. Find a unit vector perpendicular to both [1,2,-3] and [2, -1, 4].

A: Given a=i+2j-3k b=2i-j+4k Aim : to find unit vector perpendicular to a and b

Q: Express the vector (-1,5,-6) in R^3as a linear combination of (2,0,7),(2,4,5) and (2,-12,13).

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Q: Calculate the sum of the vectors that can be drawn as a vecto from the vertices of the triangle…

A: The vertices of the triangle is A7,4,-4, B1,-1,1 and C-8,-1,3

Q: Suppose (vector u)=(3,-4,-5) and Vector v=(2,-1,2)u+v=?u-v=?v-u=?3u=?(-1/4)v=?2u-3v=?I appreciate…

A: u=(3,-4,-5)v=(2,-1,2)

Q: Find two unit vectors orthogonal to a=⟨1,−1,−2⟩a=⟨1,−1,−2⟩ and b=⟨2,0,−2⟩b=⟨2,0,−2⟩.

A: Given vectors are

Q: 6. Find the unit vector in the same direction as v. If u = (-12,8) and v = (-5,-12), find:

A: Consider the vectors u=<-12, 8>,    and    v=<-5, -12>. Need to find the unit vector in…

Q: Determine if the vectors (2, –2, 1) and (0,1, 2) are orthogonal.

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Q: ppose u = (-2, –1) and v = (-3,–9) are two vectors that form the sides of a parallelogram. Then the…

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Q: Find two unit vectors orthogonal to both (2, 3, 1) and (-1, 1, 0).

A: Unit Vectors orthogonal to vectors  <2,3,1> and <-1,1,0>…

Q: Find a vector orthogonal to both (-4,-4,0) and to (0,-4,-4) of the form (100)

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Q: Find the vector in R' from point A = (-2, –3, 8) to B = (9, –4,–3). AB = help (vectors)

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Q: (4, 3), (4, -3), (-3, 4) and  (-3, -4). Which of the following pairs of vectors is perpendicular?

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Q: Is it possible to write the vector (-5,11,-7) as a linear combination of the vectors…

A: See the attachment

Q: ū = (-2, -12, 4), ₺ = (3, -2, 1).

A: Here we use the vector addition formula.

Q: By finding the dot product for each pair of vectors determine if they are perpendicular: (1,2) and…

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Q: Find a vector a that has the same direction as (-8, 9,8) but has length 3.

A: The solution is given below

Q: Determine the dot product of the vectors а 3 (-3,—2, 3), b %3D (2,1,-2). b = (2,1,–2). a = 1. а:b —…

A: Solve for dot product

Q: Which of these vectors is equivalent to the vector that has initial point (5,-2) and terminal point…

A: We have to find which of these vectors is equivalent to the vector that has the initial point (5,-2)…

Q: The vectors (-1, 2, – 1) and (2, –4, 2) are parallel and not orthogonal. True False

A:

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.