The diagram below shows two vectors, ü and v. -2 -1 2 3 -2 a. Consider vector ü from above. Write this vector in both component form and polar form. o Component form: <4,4> o Polar form: Preview Preview b. Consider vector ö from above. Write this vector in both component form and polar form. • Component form: <-3,2> • Polar form: Preview Preview Hint: your answers should be in the form "< #, # >". For the polar form, you do not need to enter a degree symbol. 6. 3. 2.

Q: EXAMPLE 1 Parallel vectors Using Figure 13.6a, write the following vectors in terms of u or v. a. PO…

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Q: Given the vectors ú and i shown below, find u + v. Submit your answer by dragging the endpoints of…

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Q: let u = 83, -29 and v = 8-2, 59. Find the(a) component form and (b) magnitude (length) of the…

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Q: Write the vector shown below as a combination of vectors i and i shown above Vector = Note: In both…

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

A: The given vector is -6,-4. Now, draw the given vector by an arrow from the origin to the given…

Q: Determine the vector of magnitude 7 that has the opposite direction of ū = -4î + 13ĵ – 16k.

A: We can find the required vector as below

Q: On the diagram to the right, what are the components of the resultant of the three vectors shown? *…

A: We have three vectors, two of them are in horizontal direction, 6 N is -x direction and  14 N in +x…

Q: A person in a car travels 9 miles south and then 11 miles west. The person realized she was lost and…

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Q: Rotate the vector (5,1) 90° clockwise about the origin. ([ ? ],[ ])

A: We need to rotate the following vector 90° clockwise about the origin x,y = 5,1

Q: Rotate the vector (0,2) 270° counter-clockwise about the origin. {[ ? ],[ KU?1| )

A: Given vector is : 0,2 , rotate the vector 0,2 270∘in counter clockwise about origin.

Q: What is the vector shown in component form? Enter your answer by filing in the boxes.

A: Consider the vector

Q: An airplane is flying with a constant altitude at a speed of 475 mph in a direction 25° north of…

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Q: Hello, any help for this problem would be greatly appreciated. Thank you! 8.4

A: Given vector is  Its magnitude is

Q: и Write the vector shown below as a combination of vectors u and v shown above Vector и + Note: In…

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Q: Find the vector component of v = (4, – 1, 7) along b = (3, 6, –6) and the vector component of v…

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Q: 1. Draw and label the vector with these components. Then determine the magnitude and angle of the…

A: a) The component form of the vector= (3, -2) So the magnitude of the vector= 32+(-2)2=9+4=13 The…

Q: let u = 83, -29 and v = 8-2, 59. Find the(a) component form and (b) magnitude (length) of the…

A: Given that, u=83, -29v=82, 59

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

A: The given vector is -2,5.

Q: Sketch the vector indicated. (The vectors u and v are shown in the figure.) y 10 8- -10 10 y 10 y 10…

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Q: 4. Convert the vector (2. 3, 4) into the i and i form. Then find its magnitude of the vector.

A: Vector form of a point (a,b,c) is given by v→=ai+bj+ck and magnitude of this vector is given by,…

Q: The following vectors are in 3D. Write in a unit vector form and find its magnitude. а) k%3D…

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Q: Rotate the vector v = by 0 = 120°. Exact values highly preferred. %3D

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Q: Given the vectors ú and v shown below, find u – v. Submit your answer by dragging the endpoints of…

A: In this type of question we can revert one vector in opposite direction and then apply parallelogram…

Q: Let u = (2, – 4) and v =(-4,2). Find the component form and magnitude (length) of the vector 2u -…

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Q: Find the vector have the same direction as vector a-1-2j+2k and has a magnitude 9. Select one:…

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Q: A pilot sets his airspeed to 500 km/h on a heading of North 65 degrees East . A strong wind is…

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Q: Sketch the vectors

A: Solution : The magnitude  of |a| , |b|, |c| are  |a|=a1+a2|b|=b1+b2|c|=c1+c2 a=(-3)2+22     =9+4…

Q: QUESTION 13 Given vectors u = (-29, -16) and v = (-37, -18), find vector u - v. Provide your answer…

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Q: 3. As the Marine Engineer on board the vessel ABC Marine, you are required to verify that the…

A: The given details: The vessel ABC Marine leaves a harbour and sails 4.5 km in the direction 55…

Q: 10 Select the correct answer. If vector a = and vector b = , what is the resulting vector for 2b -…

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Q: A batter hits a baseball with an initial horizontal speed of 74 mph and an initial rate of climb of…

A: According to the problem, we have

Q: Fined the vector component of A=3xa, +2 ya, + za, in the direction of the vector B= 3a, - 2a, at the…

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Q: The coloured figure below shows a semicircle centred at o. Also shown in the figure are the vectors…

A: Let the green vector be x and the radius be r.

Q: Consider the vector v = (-19.3, 4, – 18.6). What is its magnitude? Answer: What is its direction?…

A: Topic:- vector algebra

Q: Choose correct position vector B. -OB-BC = -0C OD = OA+AC -BC-OB = 0C OA+AC = -0C %3D

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Q: The diagram below shows two vectors, u and i. 4 y -2 2 -3 -4 a. Consider vector u from above. Write…

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Q: 4. Identify the component form of the vector that maps AABC to its image AA'B'C' A . 2 B. C. 2 A4…

A: Observe the given figure to identify the coordinates of both A, B, C and A', B', C'. x coordinate…

Q: Write the vector shown above in component form. Vector ww Note: In the graph, each box is 1 unit by…

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Q: please help me find the magnitude of the following vector. U = 8i + 15j

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

A: Consider the given point 1,4 and origin 0,0

Q: PART I QL.If A = 2a, + 2a, – a, and B = 3a, + 2a, – 6a, are vectors, find (only two): %3D (a) A -B…

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

A: we have to , Draw the vector V that goes from the origin to the given point. Then write V in…

Q: Determine the vector 2a – b if a = -4i + 5j and b = 7i + 2j. %3D

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Q: Suppose ABCD in the figure below undergoes a glide reflection that moves along the vector then…

A: Suppose ABCD in the figure below undergoes a glide reflection that moves along the vector &lt;4,…

Q: Write the polar form of the vector 3 + 4i.

A: This is a problem of complex analysis.

Q: 4. Identify the component form of the vector that maps AABC to its image AA'B'C A. B. C. D. ぐ 21…

A: first we write thev coordinate of the vertex of each trangle

Q: 5. Sketch the vector as a position vector and find its magnitude. v =-6i - 4j

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Q: Find u + v, u – v, and 2u - 3v. Then sketch each resultant vector. u = (-4, 1), v = (3, -5)

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Q: A bicyclist rides 11.2 kilometers east and then 5.3 kilometers south. What is the angle of the…

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Q: Let each of the vectors: A = (1, -3, 5) B = (2,3,-2) and C = (-2,0,0) extends outward from the…

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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.