Given the magnitude and direction, give the vector in component form . Round to the nearest hundredth. 1. 7 = 90.119 ;i= 2. 5 = 94, 294°; š =

Q: Vector a is expressed in magnitude and direction form as a =(√33, 130°).

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Q: Illustrate how you would find the unit vector having the same direction as vector (p.q.r).

A: Given vector is p,q,r. We have to illustrate the method to find the unit vector having same…

Q: Write the vector v in the form ai+bj, given its magnitude and the angle.Magnitude = 16Angle = 135

A: To write a vector v in the form ai + bj We have Magnitude of the vector, ∥v∥ = 16 and Angle, α =…

Q: Using the given magnitude and direction in standard position, write the vector in component form.…

A: given  magnitude |v| =4  direction θ = 300°

Q: Using the given magnitude and direction in standard position, write the vector in component form.…

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Q: Find the component form for the vector with the given magnitude and direction angle of |v| = 4.8, 0…

A: Given query is to the components of vector v.

Q: Find the magnitude ||v|| , to the nearest hundredth, and the direction angle θ, to the nearest tenth…

A: v=-10i+15j Comparing with v=xi+yj, we get x=-10 & y=15 Now magnitude is,…

Q: Write the vector v in the form ai+bj, where v has the given magnitude and direction angle. Give your…

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Q: A bus travels 8.4 miles east and then 14.7 miles north. What is the angle of the bus' resultant…

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Q: Vector a is expressed in magnitude and direction form as ā = (V30,110° What is the component form a?…

A: Given

Q: Given vectors a= (2, 1) and b= (−3, 5), find −2a+4b. Write your answer in component form

A: To find the component form of a vector

Q: Graph vector v = i – 2j , and find its magnitude and direction. Click on the picture to answer. You…

A: Given vector is V→=i-2j.     Formula used: Magnitude of vector V→=ai+bj v→=a2+b2 The direction of…

Q: Find the solution set of the following vector equation.

A: In this question, we solve the system of equations. Here, we write the system in the matrix form,…

Q: Given a -5, b=8, and the angle between them 150º, find: ) the magnitude of the vector a +b ) the…

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Q: Vector a is expressed in magnitude and direction form as a = (V30, 110°). What is the component form…

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Q: Use the formulas that we went over in the lecture to convert the following vector into a (1)…

A: Given V=<0,-3>. We need to convert the following vector into magnitude and angle.

Q: Find the magnitude lvl , to the nearest hundredth, and the direction angle θ, to the nearest tenth…

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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 (5, -5)

Q: Let A = (4,2) and B = (-1,4). Find the magnitude and direction angle of the vector B-A.

A: The given vectors are,

Q: A swimmer heads in the direction N 30 E, swimming at 5 mi/h relative to the water in the Chesapeake…

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Q: Find the unit vector that has the same direction as v = 24i - 7j The unit vector that has the same…

A: Here we have to find the unit vector that is the same direction as the vector v. Given :- v=24i-7j

Q: Given |?| = 7 with ? = 71°, find the magnitude of the horizontal and vertical component vectors.…

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Q: The velocity of a ship is given by the vector -6.4i + 7.7j mph.  a) Find the speed of the ship. b)…

A: The velocity of a ship is given by vector: (a) The speed of the ship is the magnitude of the…

Q: Draw a vector representing the following velocity. 10 cm/sec N 60° W

A: Let us draw a vector representing the velocity v=10cm/sec N 60°W

Q: Find the unit vector in the same direction as v = 7i - 4j. Write final answer in terms of i and j.…

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Q: Find the unit vector in the direction of (5, –4). Write your answer in component form.

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Q: Write the vector v in terms of i and j whose magnitude and direction angle are given. M=,0=115°…

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Q: Vector a is expressed in magnitude and direction form as a =(√30, 110°). What is the component form…

A:

Q: Use the diagram to the right to answer questions 5 and 6. 5. Which of the following are equal…

A: We have to check

Q: Find the magnitude ||v|| , to the nearest hundredth, and the direction angle θ, to the nearest tenth…

A: To Determine: Find the magnitude ||v|| , to the nearest hundredth, and the direction angle θ, to the…

Q: Vector a is expressed in magnitude and direction form as a⃗ =⟨26−−√,140∘⟩. What is the component…

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Q: Write the vector v in terms of i and j whose magnitude and direction angle are given. IM=.0=112° v=0…

A: V=||v||<cosθ,sinθ>

Q: (3,6) The magnitude is

A: It is magnitude of vector.

Q: Vector a is expressed in magnitude and direction form as a =(√26, 140°). What is the component form…

A: I am attaching image so that you understand each and every step.

Q: Add the given vectors by components. Remember to give both the magnitude and direction of the…

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Q: Write the vector in the form . If necessary, round values to the nearest hundredth. 43) 5(0525%3=…

A: For this we can easily write in vector form from graph itself as there given magnitude and angle.

Q: Write the vector v in the form ai+bj​, given its magnitude v and the angle α it makes with the…

A: Given,  ||v|| = 6, α = 135°

Q: Which of the vectors in the graph below is the negative of the vector v? a A. C В. a С. d D. b 10 to…

A: The given vector is

Q: Find the horizontal and vertical components for a vector having a magnitude of 9 and a direction of…

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Q: A person jogs 780 meters south and then 360 meters west. What is the angle of the person's resultant…

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Q: Write the vector v in terms of i and j whose magnitude and direction angle are given. ,0 = 113° v=…

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Q: Write the vector v in the form ai + bj, given its magnitude v||= 180 and the direction angle a…

A: We have to find vector

Q: Given the vector in component form, find the magnitude and direction. Round to the nearest…

A: 1.p⇀=<-21,-31>2.b⇀=<-23,31>

Q: Find the magnitude and angle (in degrees, 0° <0< 360°) of the vector shown above. Magnitude: Angle:…

A: Given query is to find the magnitude and the angle of the vector.

Q: Given the vector u with magnitude 2 and direction 350°, and vector v with magnitude 7 and direction…

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Q: Find the magnitude and the corresponding unit vector

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Q: Given the magnitude and direction, give the vector in component form . Round to the nearest…

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Q: A car travelled 50 miles due south then travelled 90 miles 35 degrees south of west. Solve for the…

A: Representing the given information graphically,

Q: Vector a is expressed in magnitude and direction form as a =(√33, 130°). What is the component form…

A: We want to find component form of the vector.

Q: A holiday bell is hung from two ropes of different lengths as shown. The bell weighs 2.3 kg. What is…

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Q: Find the vector v with a magnitude of 302.2 and a direction angle of 55.4°. Write the answer in the…

A: We have to find a vector v with a magnitude of 302.2 and a direction angle of 55.4°.

Q: Find the vector v given that the magnitude is 9 and the direction angle is 225°. Write final answer…

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.