Graph the vectors < 2, 1 > , < 0, – 1 > , and < 3, - 4 > below. The vectors may start at any point. 5+ 4- 3 -5 -4 -3 -2 -1 3. -1 -2 -3- -4 -5+ Clear All Draw: Submit Question

Q: If a and b denote the vectors OA and OB, indicate on the same diagram the vectors OC and OD denoted…

A: As first question and second question are independent so I am solving only first question.If you…

Q: For the vectors a = (2, 8) and b = (4, 6), find orthab. 56 orthab = V 68 Illustrate by drawing the…

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Q: The following are the vertices of a triangle A(4, 0, -1), B(-4, -1, 0), and C(3, 1, 1), find: vector…

A: To find the given values:-

Q: Given vectors a = (-6, 4) and b = (0, -2), find -3a +4b. Write your answer in component form. -3a +…

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Q: Given vectors a= (-4, 3) and b= (1, 2), find 3a-4b. %3D Write your answer in component form. 3a - 4b…

A: Given, a=&lt;-4,3&gt;, b=&lt;1,2&gt; We have to find 3a-4b

Q: Order the following vectors by increasing magnitude. (3,4) (0,-6) (-2,4)

A: Given vector is (3,4) , (0,-6) and (-2, 4). We have to order the vectors by increasing the…

Q: Consider a triangle whose vertices are A(2, -3, 4), B(1, 0, -1), and C(3, 1, 2). a. Find vector AB +…

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Q: Find the length of each vector.

A: Solution: Consider the given vectors are  (a) u = 0-20 The length of the vector a→ = a1a2a3  ⇒ ∥a→∥…

Q: Which of the following vectors represents -3e in component form? a. (9,-6) b. (-3, 2) 4. c. (-9,6)…

A: As per our guidelines only one question can be solved. Please find the solution for the first…

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: If P1 = (-2, 3), P2 = (-1, 5), and v is the vector from P1 to P2, a. Write v in terms of i and j. b.…

A: Given: P1=-2,3, P2=-1,5

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: Given vectors a=-37-9)andy=-12t-13, find vector x

A: We need to obtain the difference of the two vectors.

Q: Write the coordinate vector for the polynominal Find p1, p2, p3 and P3 = ...?p1 + ...?p2

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Q: Given vectors a = (-1,-2),5= (-2,3), c= (3,-1),đ = (-3,2) find the dot product of 5 and d. -12 -1 12…

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Q: Show that the vectors are parallel, and determine whether they have the same direction or opposite…

A: Known fact: If a⇀×b⇀=0 then the vectors are parallel to each other.

Q: Two vectors are equivalent when they have the same ________ and the same ________.

A: Two vectors are equivalent when they have the same magnitude and the same direction. Magnitude of a…

Q: "Given vectors A = and B = , find A dot B. " QUICKLY

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Q: If ||v|| - 10 and 0 = 120°, find the component form of the vector. O O O O

A: We have to find vector components

Q: Complete all steps in the instructions. Add the vectors shown in the graph below. 10 不 -10 7 10 -10…

A: Given

Q: n. 3.

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Q: Which of the following vectors represent a + b, if a and b are given as below? b a a) b) c)

A: Given : Vector a and vector b is given

Q: The following are the vertices of a triangle A(4, 0, -1), B(-4, -1, 0), and C(3, 1, 1), find: vector…

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Q: Which of the following vectors are parallel : Select one or more: O [-12 -3 -6 -3 1 16 -12 4 2.

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Q: Given the vectors a=(7, -4) and b=(-3, 8), find 2a and a +b. Write your answers in component form.…

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Q: Given points A(4,5) and B(6,1), write the component form of the vector from A to B.

A: We have to find out the vector

Q: Emily draws 2 vectors a and b. Cindy draws another 2 c and d. The angle between a and b is smaller…

A: Given: a ax, 5b 4, 3c -24, 7d-12, 5……1   Also, Angle between vectors a and b is smaller than vectors…

Q: Two vectors are given in component form in the following way: v (4, –3) s (3, 2) Which of the…

A: We have to find the vector in component form and the transformation matrix.

Q: Given the diagram of the rectangular prism, determine expressions for the listed vectors in terms of…

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Q: Given the following vectors: a. Draw a + b b. Draw a - b C. Draw -3a

A: (a).             a+b…

Q: Given the vectors à = and b =

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Q: For what values of a and b are the vectors ; equal?

A: a-b2,  4a+b

Q: b a Which picture looks the most like a diagram for the following vectors: A = 20<50°, B = 30<120°,…

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Q: Which of the following vectors is shown in the graph below? ++ O f2.1.4) O 2-1,-4)

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Q: Given the vectors shown, what is the component form of vector b + c? a = (13,15) b = -2a C = (а)…

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Q: Given three vectors A, B, and C as follows, A = a, + a,2 – a 3, В 3 — а,4 + а,, С 3D а,5 — а,2, find…

A: Please see the explanation below

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: 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: Given vectors a = (1,2, –1), b = (2,0,-1), and c = (2,2,1): a) What is 2ä – 35 + č? b) What is the…

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Q: Which of the following vectors represents b in component form? a. (-3, –7) b. (-3, 2) c. (7,3) d.…

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Q: Brooke draws 2 vectors a and b. Izzy draws another 2 c and d. The angle between a and b is smaller…

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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: Illustrate with an example and a diagram why a+b=6+a¯ for all vectors a and 6

A: Vector addition

Q: Which of the following vectors have the same address? A=(1,-3,2), b=(2,0,1), c=(-2,6,-4),…

A: Two vectors a and b are said to have same address if b can be written as some positive multiple of…

Q: For the vectors a = (3, 12) and b = (6, 9), find orthab. 182 37 orthab = %D 51 ' 51

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Q: For what values of a, b, and care the vectors (2a-b,a-2b,6) and (-2,2,a+b-2c) equal?

A: The given vectors are 2a-b,a-2b,6 and -2,2,a+b-2c . Note that, two vectors are equal if their…

Q: Refer to the diagram below. (a) Use the vectors shown to sketch a + b, a -b, and - a. You should…

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Q: Let a, b, and x denote vectors in R,,. (a) Simplify 3a + (5b -2a) + 2(b - a). (b) If 5x - a = 2(a +…

A: (a) Calculation: The simplified form of 3a+5b-2a+2b-a can be obtained as,…

Q: Let a, b, and x denote vectors in Rn. (a) Simplify 3a + (5b -2a) + 2(b -a). (b) If 5x - a = 2(a +…

A: Given:         a, b  and x are vectors in Rn.

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.