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Q: Find the unit vector that points in the direction of [ 2 7 1 -7] + [1 -1 2 8]

A: What is Unit Vector: Geometrical objects with magnitude and direction are called vectors. A starting…

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: 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: Using the vectors below, answer the following three questions: if Ip| = 8 lğ| = 3 a.) Sketch p – q…

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Q: Find a unit vector in the direction of v and in the direction opposite of v. v = (9, -5, -9) (a) In…

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Q: Find the direction angle of the vector v. v = -i + 3j 135° 300° 120° 150°

A: We have to find As per guideline we have to find one question

Q: Write the vector v in the form ai+bj​, given its magnitude is v=39 and the angle it makes with the…

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Q: 3) |m| = 68, 45°

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Q: Write the vector v in the form ai + bj, given its magnitude is v = 10 and the angle it makes witht…

A: Given that magnitude = 10 and angle = 330 degree

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

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Q: . Find the vectors whose lengths and directions are given. Try to do the calculations without…

A: Given, the length and direction of a vector, we have to find the vector.

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: Consider the figure below. If AABC is translated using the vector (x, y) → (x - 3, y+3), then…

A: In the given triangle ABC, the x coordinate of C is (-4,1) Given  (x,y)->(x-3, y+3) Use the above…

Q: Find a unit vector that has the same direction as the given vector -5 i + 9 j.

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Q: Which vectors are the same? y 上平十 y y A B y y D E х

A: We solve only one problem at a time so please submit them one by one for a quick and thorough…

Q: Determine the resultant of the vectors with the given magnitudes A 557, 153.0° B. 1236, 233.0° The…

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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: Which of the following equations correctly expresses the relation between vectors A, B, and C shown…

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

A: Given a=-7i-7jMagnitude=(-7)2+(-7)2               =49+49               =9.8994 or 72

Q: Write the vector shown in component form. (Assume that each point lies on the grid lines and that…

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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: Find a unit vector in the direction of u and in the direction opposite that of u. u = (-12, -5) (a)…

A: The solution is given as

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

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: Find a unit vector in the direction of u and in the direction opposite that of u. u = (5, -4, -2)…

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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…

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Q: Find a unit vector in the direction of, a) = (-8,15) b) i= (12,-16) %3D

A: We have to find

Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° < 0 < 360°.) V2 % = 9 |v| =

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Q: Find a unit vector in the direction of u and in the direction opposite that of u. u = (-4, -3) (a)…

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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…

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Q: Find a unit vector in the same direction as a= 6 i -4 j. i + j.

A: Given, a=6i-4j

Q: 1. Use components to find the magnitude and direction of a) Ã + B; b) Ã – B; c) B – Ã. Ã (2.80 cm)…

A: a) The magnitude of given vectors are A→=2.80cmB→=1.90cm The X and Y components of  A→ are…

Q: Given the vectors a and b. 6. Sketch the vector a + 16

A: According to  parallelogram law of vector addition, If two vectors are represented by two adjacent…

Q: Find the magnitude of the vector (2, 2). Write your answer in simplified radical form. : o/o (0.0)

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Q: 19. Determine the angle between the two vectors. a. 128.25 degrees c. 51.75 degrees b. 57.75 degrees…

A: A→ = 6 i^ - 2 j^ +3 k^ in.B→ = -14 i^ - 2 j^ +5 k^ in.

Q: Using the vectors below, sketch ¿p+ 3ġ if Ipl = 8 lg| = 3 %3D %3D 40°

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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: The guy wire supporting a 100-foot tower has a tension of 520 pounds. Using the distances shown in…

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Q: Find the magnitude of the vector v = -5i-5j. Write your answer in simplified radical form.

A: If a vector v→ is of the form ai^+bj^ then the magnitude of the vector is a2+b2

Q: What is the direction of the vector (8, -7)? A 41.19° B 138.81° с 221.19° D 318.81°

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

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

Q: Find a unit vector that has the same direction as the vector 7i – j+ 5k. | Answer: u =

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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: Consider the figure below. If AABC is translated using the vector (x, y) → (a-3, y+3), then rotated…

A: Given, Here x,y→x-3,y+3 and then rotated 180° about the origin.

Q: Use the component method to add the vectors A and B shown in the figure. The length of B is 2.55 m…

A: Suppose we have two vectors A→ and B→ then its addition in component method is given by A→ + B→ =…

Q: Find a unit vector in the direction of v and in the direction opposite of v. v = (-7, -8, -6) (a) In…

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Q: Find the real part of the length of the vector v° = (5 + i, –3 – i)

A: Use the given vector.

Q: Find a unit vector in the direction of, a) i = (-8,15) b) i = (12,–16)

A: a) To find the unit vector in the direction of u→ = &lt;-8,15&gt; The required unit vector is v→ is:…

Q: A kick boxer kicks a bag at an angle of 30° from the horizontal with a force of 190N (Newtons).…

A: The force vector F which is being applied by the kick boxer while kicking bag at angle of 30° 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.