Write the vector v in the form ai + bj, given its magnitude v and the angle a it makes with the positive x-axis, M=7, a = 30° (Simplify your answer. Type an exact answer using radicals as needed. Type your answer in the form ai + bj..)

Q: Find the unit vector in the direction of v = 2i – 5j. You can write your answer either in component…

A: the given vector is  find the norm of the vector  .

Q: Write the vector v in the form ai + bj, given its magnitude is v = 30 and the angle it makes with…

A: Magnitude ||v||=30 and alpha =240°

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: Given the vectors u and i = , perform the operations below. %3D -4. ū +7. = Question Help: O…

A: Vector problem.....

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: Given vectors a = (1, -3) and b = (-2, 0), find 4a - 2b. | Write your answer in component form. 4а -…

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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: u = 700i + 500j

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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: Convert the vector Ả = = pzsino a,+ 3pcos¢ a p + pcosø sinø az to RCS. Simplify your answer and show…

A: A vector in cylindrical coordinates can be written as A→=Aρaρ⏞+Aφaϕ⏞+Azaz⏞ A vector in cartesian…

Q: Write the given vector in terms of i and j. ? =  (0, −10)

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Q: Find a unit vector in the same direction as a= -5 i  -7 j

A: To find a unit vector in the direction of a given vector, divide the vector by its magnitude. like:…

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=<-4,3>, b=<1,2> We have to find 3a-4b

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

A: To write the vector v in the form ai+bj, given its magnitude v and the angle α it makes with the…

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: Write the vector v in the form ai + bj, given its magnitude is ||v|| = 38 and the angle it makes…

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

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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: Find the cosine of the angle between the vectors a = 2i +3j - 4k and b = 5i-1j+ 1k. (You should…

A: Find the cosine of angle between two vectors

Q: Find the magnitude of the vector (4, –2). Write your answer in simplified radical form.

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Q: Give two vectors A=4i+3j, B=5i-2j Find its values and the direction of vector C, which is 2A-B

A: Vector addition

Q: Find the magnitude of the vector (3, –6). Write your answer in simplified radical form.

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Q: Write the Unit vector that has the same direction as the vector v. Give an exact answer. v=12i-5j

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Q: Find the magnitude of the vector  (−4−2)     Write your answer in simplified radical form.

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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: 4) -16i + 30j

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Q: given the vectors u=-i-5j and w=-3i+2j, find -4u and u-w. write your answers in the form ai+bj

A: Let u→=u1i∧+u2 j∧+u3 k∧ and v→ = v1 i∧+v2 j∧+ v3 k∧be two vectors , then the sum of  u→  and v→  is…

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

A: For a given vector v→, length of the vector is denoted by v→  and direction vector is obtained by…

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

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Q: Find a unit vector that has the same direction as the given vector. -5i + 7j

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Q: Find the vector -3u+4w given the vectors u = -i-7j and w = -9i+4j. Write your answer in the form…

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Q: Write the given vector in terms of i and j. u- (0, -9)

A: given vectoru=(0,-9)

Q: Find the vector of magnitude 14 in the direction opposite that of the vector v = 4i + 5j + 5k. This…

A: we find the vector of magnitude 14 in the direction opposite that of the vector v=4i+5j+5k

Q: Given the vectors u = 6i and v = 3i–8j, find -7u and u –v. Write your answers in the form ai+bj. -…

A: Let us consider two vectors, u= ai + bj  And v = ci + dj  Then for a scaler c we get, cu = c(ai +bj)…

Q: Answer 48. The vector cũ has the same direction as ū. 49. |l0 – ü|| is the length of the shorter of…

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Q: Find the magnitude of the vector v =-6i+4j. Write your answer in simplified radical form.

A: We have to find the magnitude of the vector

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: Find the vector -3u+4w given the vectors u = -i-4j and w =-2i+5j. Write your answer in the form…

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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: 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: In the triangle below, BA=u and BF=v. Express each of the following in terms of u and v. a) CD b)…

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Q: Find the magnitude of the vectors represented 3 by (@5 0² 05 + !|

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

A: Given  v=18 ,α=120°

Q: Write the given vector in terms of i and j. ? = (1, 3)

A: (a,b) is written as : ai+bj

Q: Given vectors a = (2, 6) and b = (1, -3), find - 3a+5b. Write your answer in component form. -3a +…

A: We need to find the sum of given vectors.

Q: Copy the vectors in the figure and use them to draw the following vectors. (а) а + b (c) 2а (е) 2а +…

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Give the magnitude and direction for each vector. 7. (3,4) 8. (8/2,-8/2) 9. i+ /3 j 10. -3i - 5j

A: Given vectors are  7) 3,4=3i+4j8)82,-82=82i-82j9)i+3j10) -3i-5j

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

A: According to question given that v=7, α=60°We have to write the vector v in the form ai+bj

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 magnitude and direction angle of the vector v = -9i + 10j to correctly write v in…

A: Given Data: Vector: v = -9i + 10j The magnitude of the vector v is, r=a2+b2 Substitute the values in…

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.