image. Square ABCD has vertices A (-3, -4), B (-3, 6), C (1, -4), D (1, 6) and is translated with the vector <-3, 5>

Q: If w = -2i + 6j, find the following vector: 2(-2) + 4(-6) W.

A: Given: The vector w=-2i^+6j^. w2 can be calculated as, w2=-22+622        =402       =2102…

Q: Determine the dot products of the following pairs of vectors. (a) (3, 5), (3, -4) (b) (2, -5, 3),…

A: Solution :-

Q: Q1-)B-)Show that the following triangle whose vertices A(1, -1, 0), B(4, -3, 1) and C(2, -4,5) is a…

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Q: Given the points A: (2,4,-3) and B: (2,-3,5), find the vector ā AB

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Q: 03. If a=(3,-1,1), for what value of c is the vector b-(3,c,-1) perpendicular to a?

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Q: Consider the triangle with vertices P(-1, -4, -3), Q(0, –1, –5), and R(4, –3, –-6). Determine the…

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Q: Given vectors a = (1,2),5= 2,-1), find 4a-35. (-2,-11) (2,-11) (-2,11) (2,11)

A: Given vectors are:- Vector a =&lt;1,2&gt; vector b =&lt;2,-1&gt; Find :- 4a-3b

Q: Find the vector PP,: 5. P, P2 12 2 4 6. 4

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Q: Find the measures of the angles of the triangle where vertices are A =(-1,0), (2,1), C = (1,-20).…

A: The given triangle will be

Q: Given that - (1, 2, 3) and - (4. 0, – 4) find the vector where %3!

A: In this question we have to find the vector z.

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: ±). 1.4 Use vectors to decide whether the triangle with vertices P(1,–3,–2), Q(2,0, –4) and R(6, –2,…

A: solution of the given problem is below ...

Q: ectors to decide whether the triangle with vertices P(1,-3,-2), Q(2,0,-4), R(6,-2,-5), and is…

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Q: Below is a diagram of the dotted cube with edges of length 3. Suppose vectors u = (3,0, 0), v = (0,…

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Q: f A = (1, -3, 2) and B = (3, 4, -5), what is B - A? Draw the vector diagram. %3D

A: Topic:- vector

Q: Use vectors to decide whether the triangle with vertices P(3, -1, -4), Q(4, 2, -6), and R(8, 0, -7)…

A: Given : Vertices of a triangle P(3, -1, -4), Q(4, 2, -6), R(8, 0, -7)   To find : The given…

Q: 15. Which is the component form of the vector shown? -2- * (1, 2) -4 (-5, -3) O (4,-7) O (7.-4)

A: This question is related to vectors, we will solve it using given information

Q: Graph each figure and its image along the given vector. a. AABC with vertices A(2, 6), B(1, 1), and…

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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: 2) Given the vectors a-[4, 2, -6], b-[6, -3, 2], and c-[-5, 0, 4], simplify the following vector…

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Q: 1. Graph the vectors a) (-3,0,0) Axis? b) (0,5.0) Axis? --

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Q: Given u = (-3,4) and v= (-3, 4), find the vector 3u- 4v." Select the correct answer below: O (3, 8)…

A: Given,             u→=&lt; - 3, 4 &gt;            v→=&lt; - 3, 4 &gt;

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: - Find the lengths of triangle ABC using vectors, knowing that: A (3,1), B (6,4), C (-1,3)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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: Find the sum of the vectors. u = (4, –1), v = (-1, -4) u + v = Illustrate the sum geometrically. y y…

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Q: Match the vectors p,7,ï, 3, and t with one of the combinations of the i and i vectors from the…

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Q: () Let a = -2 and b= 1 be two vectors. What is |a|2|b|? - |a - b|² ?

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Q: Set C 1. Use vectors to find the (shortest) distance between the point (-2, 1, 4) and the line…

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

Q: The vertices of a triangle in space are (x1, y1, z1), (x2, y2, z2), and (x3, y3, z3). Explain how to…

A: Given:

Q: 2. In a dance performance, four dancers form a diamond with vertices A(2, 0), B(0, 2), C(-2, 0), and…

A: Given, The diamond with vertices A2,0,B0,2,C-2,0 and D0,-2 is given. The coordinates after six…

Q: 3. parallelogram ABCD with vertices A(1, 6), B(4, 5), C(1, –1), and D(-2, 0); translate by (3, -2)…

A: To get the coordinate of translation image we add vector and coordinate of original image.

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: Given ā = [1,3,-2] and b = [-2,5, 1] Determine a) The Dot Product of the given vectors b) The Cross…

A: As per our guidelines we are suppose to solve only first three sub-parts of a question. Kindly post…

Q: 8. AABC has vertices A(2, -1), B(5, 1), and C(3, 3). Translate AABC along the vector . List the…

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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: Given the vectors =(-3, 1) and n=(-2, 0), find 7m and m-n. Write your answers in component form. 7m…

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Q: 8. Translate the triangle with vertices A(3, 4), B(2, - 1), and C(4, 12) along the vector -1, 3).…

A: Translating along the vector simply means add the vector to the given point

Q: Given the vectors m = (-3, 6) and n = (0, 7), find 3m and m-n. Write your answers in Component form.…

A: Given :  m = &lt; - 3 , 6 &gt;  n = &lt; 0 , 7 &gt;  Find :  3 m and m - n

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

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Q: 6. Show that the points A, B and C with position vectors d = 32 – 4) – 4k, b = 2î – ĵ + k and & = î…

A: To show that the points A,B and C with a given position vectors forms a right angled triangle.

Q: Below is a diagram of the dotted cube with edges of leng Suppose vectors u = (3,0, 0), v = w =…

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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: 10. Given vectors a = (3,-5) and b = (-2, 7), find 4a - 5b

A: Given a=(3,-5) and b=(-2,7)Then find 4a-5b

Q: Given the points A: (2,3,6) and B: (-3,-4,1), find the vector u = AB ū = < U

A: NOTE: Refresh your page if you can't see any equations. . here we have