For Exercises 55-56, find a unit vector in the direction of v. 55. v = -8i + 15j 56. v = -9i – 40j

Q: If u = (-3, -1), then the unit vector in the direction of u is:

A: Let u→=x i+y jthen the  unit vector in the direction u→ is given byu→u→=xi+yjx2+y2

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: Find the angle a between the vectors  [ -5 ]    And    [ -2 ] [ 5 ]                 [ 3 ]

A: To find the angle between the vectors

Q: Find the unit vector in the same direction as the vector u = [8, –7].

A: When you divide a vector by its magnitude you get an unit vector along its direction.

Q: Find a unit vector in the direction of v = (-2, 8, 6). %3D

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Q: Let v = (-3,5, –5). Find a unit vector in the same direction as v.

A: on solving this we get

Q: Find a unit vector in the direction of u and in the direction opposite that of u. u = (-15, -8) (a)…

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Q: What is the unit vector in the direction of v = ?

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Q: Find the measure of the angle between the two vectors. 5) u= (4, 9) v =(-6, -8) 6) u= (8, 5) v =…

A: To find - angle between u and v Use of - cosine formula of finding angle between vectors

Q: Find the unit vector directed   from (2, -5, -2) toward (14, -5,3)   a. a = 0.3858, +0.923a, b…

A: Here we have to find a unit vector.

Q: 5) Write the analytical expression of the unit vector for F= 400 i + 700j - 400 k %3D

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Q: Write the vector v = ⟨2, -4, 4⟩ as a product of its magnitude and a unit vector with the same…

A: Given vector is  v=2,-4,4 Magnitude of vector v  is v=(2)2+(-4)2+(4)2=4+16+16=36=6 Now, unit vector…

Q: Find the angle between the pair of vectors below. u = (2,3) and v = (-2,5)

A: Given query is to find the angle bothe vectors.

Q: Determine the value of m and n so that the vector ?⃗ = (2, 4, 6) is perpendicular to both the…

A: To find: The value of m and n. Given: The vector 2,4,6 is perpendicular to m,n,10 and 6,m,n. Concept…

Q: Write a unit vector that points in the direction of the vector i+√2j+7k

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Q: Express the vector as a product of its length and direction. 6j - 8k 100- 10(j - k) 3 10 j O 10(6j -…

A: We have to find out the vector

Q: 3a) Use the cross product to determine a unit vector that is perpendicular and in the opposite…

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Q: Let v = (-4, 3, 2). Find a unit vector in the same direction as v.

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Q: Give the terminal point of the position vector of u= (3,4). Clearly show why your answer is…

A: Given that Position vector of u→=3,4 So, graphically it is as below:

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: Find the angle between the vectors originating from 0(0,0,0) toward A(2,3,1) and toward B(-3,1,-2)…

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Q: In Exercises 25–26, express each vector as a product of its length and direction. 25. 5k 26.…

A: We’ll answer the 25th question since we answer only one question at a time. Please submit a new…

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: What is the terminal point of the vector a = (4, 1) based at P = (1, 5)? Answer:

A: Use the definition of terminal point, we solve this problem as in next step.

Q: Find a unit vector in the direction of v = (-6, 8).

A: we have to find a unit vector in the direction of v=-6,8   as v=-6,8 therefore, v→=-6i+8j as we know…

Q: u = (- 4, -1,1) and v = (8, -4,3), a unit vector in the direction of the vector w = 3u-v corresponds…

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Q: Find a unit vector in the direction of u and in the direction opposite that of u. u = (-24, –7) (a)…

A: Unit vectors

Q: Find a unit vector in the direction of, a) й3 (-4,-3) b) й 3 (12, -5)

A: We have to find

Q: Find a unit vector u in the direction opposite of (-8,-4,-3).

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Q: Find a unit vector in the direction of u and in the direction opposite that of u. u = (-2, 4, 3) (a)…

A: If we divide a vector u by its own magnitude |u| then this gives us a unit vector v=u|u| which have…

Q: If u and v are vectors in Rn, what is the relationship between uTv and vTu? Are they equal? Justify…

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Q: 6. Find the unit vector in the same direction as v. If u = (-12,8) and v = (-5,-12), find:

A: Consider the vectors u=<-12, 8>,    and    v=<-5, -12>. Need to find the unit vector in…

Q: Find a unit vector u in the direction opposite of (-9,–2, –1). u =

A: Given vector is  -9, -2, -1

Q: Is (1, 1) a unit vector? Explain.

A: We know that if any vector a→=a1i+a2j+a3k will be a unit vector then its magnitude a→=a12+a22+a32…

Q: In Exercises 25–30, express each vector as a product of its length and direction. 25. 2i + j - 2k…

A: Hello, thank you for the question. We’ll answer the first question since the exact one wasn’t…

Q: For Exercises 20–25, perform the indicated operations on the following vectors: ā - 27 +k, i --37 +…

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Q: In Exercises 35–38,  find an equation for the line through P perpendicular to v. Then sketch the…

A: given an equation for the line through P perpendicular to v

Q: Find the angle between the vectors. a=(3, 4, – 2), b=(0,1,2)

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Q: Find the unit vector in the direction opposite (-2, –1). to y =

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Q: Find a unit vector u in the direction opposite of (-1,-9, –7). | u =

A: First we find the vector of the same magnitude in the opposite direction of the given vector and…

Q: The unit vector that has same direction as the vector from the point A(6, 8) to the point B(4, 10)…

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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: Find a unit vector u in the direction opposite of (-9, –2, –3). u =

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Q: Express the vectors in Exercises 9–10 in terms of their lengths and directions. 9. 22i + 22j  10. -i…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Find a unit vector u in the direction opposite of (-8,-4,-9). u =

A: Given vector is -8, -4, -9 We have to find a unit vector u in the direction opposite of the given…

Q: The angle between vectors A = 91-j+5k and B = (-2,7,1) is.. ******

A: According to our terms and conditions,we can only solve one problem at a time. So please repost the…

Q: I used a vector to represent a wind velocity of 13 miles per hour from the west.Determine whether…

A: Reason: (i)  When a velocity of a wind travels from the west and from the east of…

Q: 2. Given the figure below, find a single vector that is equivalent to C B tw b) 10 14 וד --(A-F+C) G…

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Q: Describe a unit vector in R^3 with the same direction as <1,0,7>

A: Consider the given point vector