Given the vector u with magnitude 2 and direction 350°, and vector v with magnitude 7 and direction 135°, find the magnitude and direction of the sum u + v. Write the sum u + v in magnitude and direction form with the magnitude rounded to the nearest tenth and the direction rounded to the nearest degree.

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: Sketch the vector as a position vector and find its magnitude. v = 5i + 2j

A: given vector:-    v = i + 5j magnitude of vector    ||v|| = √(12 + 52) = √26 So,        magnitude of…

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: n angle of v in

A: To find : The direction angle of the vector Given : v =5i-6j

Q: graph with two vectors shown on it. Add them, ar d position. |10 7

A: In the graph given, consider two vectors u and v. The vector u→ has coordinates -5,3. The vector v→…

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

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Q: Given the vectors shown, sketch ủ +v, ū-v, and 2u .

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Q: Solve for the magnitude of the resultant and the direction cosines of the following cartesian…

A: The given problem to find the magnitude of resultant vector and direction of cosines of the given…

Q: . Given a and b are unit vectors, and the angle between them is 60deg , determine the value of |2a −…

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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: Given displacements of 3 km [E] and another of magnitude 5 km.... Draw the vector addition two more…

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Q: Given u = and v = find the angle between the vectors and и V

A: Given vector u→=<4,-1> and v→=<3,5> Formula to be used u→.v→=u→v→·cosθ

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

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Q: Find the magnitude and direction angle (to the nearest tenth) for each vector. C measure of the…

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

A: v=7i-3j-10i-3j⇒v=7i-3j-10i+3j⇒v=7i-10i+3j-3j⇒v=-3i+0j Now comparing with v=xi+yj, we get x=-3 &…

Q: The vector v has a magnitude of 3 and makes an angle of 30° = π6 with the positive x-axis. Write v…

A: Given that the magnitude=3 and angle is 30° with the positive x-axis.  So,  v=3(cos30° i+sin30°…

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

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Q: 4. Given a = 5 m and b= 7 m, and the angle between the vectors ā and b is 102°, determine a +b,…

A: As we know that the expression for a→+b→ a→+b→=a→2+b→2+2a→b→cosθ Where; θ is the angle between…

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

A: Magnitude is the size of a numerical quantity or value. the directed ratio is a ratio of directed…

Q: Given the vector u with magnitude 8 and direction 270°, and vector v with magnitude 5 and direction…

A: We have to conert the given vectors into their rectangular component form and add them and then…

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: Find the magnitude and direction angle (to the nearest tenth) for each vector Give the measure of…

A: For a given vector with given values for coordinates (x,y), the magnitude of the vector is given by…

Q: Find the magnitude and direction angle of the vector w = -4i - 3j to correctly write w in…

A: we have vector  w→=-4i-3j we have to find  i) magnitude ii) direction  iii) vector w→ in…

Q: Find the direction cosines and direction angles of the vector 3i +2 i – k .

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Q: 36) -24i + 32j

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Q: Suppose the vector v has magnitude 26 and makes an angle of 308° with the positive x-axis (measured…

A: The magnitude of vector v is v = 26 The angle made by the vector with positive x-axis, θ = 308° To…

Q: Given the vectors v 8i-3j and w -i+6j, find 3v and v+w. Write your answers in the form a i+bj.

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Q: Find the horizontal and vertical components for a vector having a magnitude of 15 and a direction of…

A: Ans = (13.0,7.5) I have done solution in detail....go through the sulution

Q: Suppose the vector s has magnitude 73 and makes an angle of 114° with the positive x-axis (measured…

A: Answer

Q: Given the vectors u = -i-4j and w = -2i+5j, find 5u and u +w. Write your answers in the form a i+bj.

A: Given:- u=-i-4j  w=-2i+5j   then, 5u = 5*(-i - 4j) = -5i - 20j Here , a= -5 and b=-20

Q: Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of…

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

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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: Consider the vector v with magnitude 50 and direction angle 70°. Find the horizontal component of v.…

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Q: Suppose the vector v has magnitude 49 and makes an angle of 155° with the positive x-axis (measured…

A: The magnitude of the vector, v = 49 Angle between the vector and positive x-axis, θ = 155° To…

Q: A vector has magnitude 5 and has direction of 139 degrees. Rounded to the nearest hundredth, find…

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Q: The magnitude of the vectors and are 2 and 11 respectively, and the angle between them is 53º.…

A: Given, |u|=2, |v|=11 Angle between u and v is θ=53°.

Q: Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of…

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Q: Find the angle between the two vectors v, = and v2 = give the answer in degrees, rounded to one…

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

A: Given the vector v=-10i+15j. We need to calculate the magnitude |v| , and the direction angle θ.

Q: Given the vectors v=7i-5j and w=−i+3j, find −9v and v-w. Write your answers in the form ai+bj.

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Q: Given the vector u with magnitude 3 and direction 185°, and vector v with magnitude 6 and direction…

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Q: find the magnitude and direction angle for the vector v=2i-6j to correctly write v in trigonemetric…

A: Given : The vector v = 2i - 6j to correctly,   ⃗⃗⃗⃗⃗               ⃗v(2,-6)  magnitude of (2,-6)…

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: Suppose the vector v has magnitude 14 and makes an angle of 136° with the positive x-axis (measured…

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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: Given the vector i = (-2, - 6), determine the magnitude and angle of the vector (measured…

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

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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.