Find the following for the vectors v = -9i +j and u a. v•u, v and u b. the cosine of the angle between v and u c. the scalar component of u in the direction of v d. the vector projyu 5i+ 7j V•u= (Type an exact answer, using radicals as needed.)

Q: Find the following for the vectors u = 6i – 5j + 7k and v = - 6i + 5j - 7 k. a. v•u, v|, and u b.…

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Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = -5i + 7j, V = 6i +…

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Q: For the vector u = 4i- 3j, find a unit vector a. in the same direction as u b. in the opposite…

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Q: and notm ind the unit vector of V= 31 +5j -9k.

A: Given: v=3i+5j-9k To find: Unit vector of v Norm of v

Q: Given the vector u = 2i + 6j, find the magnitude and angle in which the vector points (measured…

A: Given :u=-2i+6j

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = 2i - 2j + k, v = 3i +…

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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: When analyzing the vectorĀ = 2i – j + 3k To the sum two vectors, the first is parallel to the vector…

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Q: Find the angle between the two vectors and determine if theY are, or thogonai: ü=5i-33+2k ahd V=-i-…

A: We will use the formula: θ=cos-1u→·v→u→v→First we calculate:…

Q: b) Consider the vectors a = 3i - 2j+7 K, and b = -5i +4j-3k, find 1-a.b 2- Angle between a and b. 3-…

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Q: Given two vectors P=-xi + yj – zk , where x, y, z represent the last three digits of your index…

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Q: Find the following for the vectors u = - 5i + 8j + V5 k and v = 5i – 8j – /5 k. a. v•u, v, and Ju b.…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: Given that a =-i+j+k, b3D2i+j-4k and c= 3i-5j+k, find a vector in the direction as (-a+3b-c) and has…

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Q: Find the value of b so that vectors U = 5i +12j and V = 4i + bj are perpendicular.

A: Given :          U=5i+12jV=4i+bj

Q: use the vectors v=-2i+j and w=4i+3j to find: -v + 2w

A: Given vectors are, v=-2i+j and w=4i+3j.   The objective is to find -v+2w.   First, find -v as…

Q: Find the following for the vectors u = - 6i + 7j + V2k and v = 6i – 7j - v2k. a. v•u, v, and u b.…

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Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = 12i + 6j, V = -13i…

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Q: Given two vectors F = (10.0i – 5.00f)N, and i (1.25i + 2.75j) (a) Solve for the i x -F. (b) Using…

A: The  cross product  of two vectors is  given by   a→×b→= i^j^k^a1a2a3b1b2b3   whereas the  dot…

Q: For a vector of my oriented at 245 degrees on the hexagonal system, find the projections of this…

A: We have to find the projection of the hexagonal system on the six leads.

Q: Find the angle θ between the vectors v = 5i + 2j and w = -3i + j. Round to the nearest tenth of a…

A: Given vectors v=5i+2jw=-3i+j The dot product of these vectors can be found using  v·w=vxwx+vywy…

Q: Find cos 0, where 0 is the angle between two vectors a = 2i – 3j + 2k, b = -2i + 2j+6k

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Q: Let x→=2i→−12j→+k→ and y→=12i→+2j→+3k→ be the two vectors. Find the angle (in radians) between the…

A: Given two vectors are To find angle between given two vectors.

Q: Find the following for the vectors u = - 9 i-2j + V2 k and v= 9 i+ 2 j- v2 k. a. v•u, v, and u b.…

A: We have to find product

Q: Find the angle 0 (in degrees) between the vectors u = -2i - 2j v = -31 + 3j

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Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = 14i + 6j, V = -13i…

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Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = -5i + 7j, V = 8i +…

A: We have to find angle

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = √3i - 7j, v = √3i + j -…

A: Given:u=3i-7jv=3i+j-2kAngle:cosθ=u→.v→u→.v→

Q: For the vectors u =i+5j+5k and v = 5i - 5j + 4k, calculate proj,u and scal, u. proj, u = (Di+ Di+ Ok…

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Q: The angle between the vectors A = 2j -3j +1k and B = 4i -3j +1k, in term of cos@ is !!

A: We use the definition of angle between two vectors to find the angle between the vectors A and B.

Q: The projection of the vector 11i + Aj in the direction of the vector i+3j is the vector 2i+6j. What…

A: To find the value of A for which  Projection of vector (11i + Aj) in the direction of the vector (i…

Q: Find the angle between the vectors u = i − 2j + 2k and v = −3i + 6j + 2k.

A: In this question we have to find the angle between the vector.

Q: nd the an

A: Here we have, u→=cosπ3i+sinπ3j ........................................ (1)  v→=cos3π4i+sin3π4j…

Q: Find the angle between the given vectors to the nearest tenth of a degree. U = 13i - 4j, V = 2i +…

A: For two vectors a and b we know that their do product is a·b=abcosθthen cosθ=a·bab…

Q: Compute the dot product of the vectors v and w, and find the angle between the vectors. v=−10i+j and…

A: Compute the dot product of the vectors v and w, and find the angle between the vectors. v=−10i+j and…

Q: If a = 2i+j-k, b=-i+2k, and c=i+2j-2k, (i) Find a unit vector perpendicular to the plane of a and b.…

A: Let two vectors be defined as x=x1i+x2j+x3k and y=y1i+y2j+y3k . The dot product of the vectors, x ,…

Q: Find the unit vector that has the same direction as the vector v = 3i - 4j.

A: We have to find unit vector that has the same direction as the vector v=3i-4j. We know that unit…

Q: Determine the angle between the vectors: x 3i + -3j + -7k and y = 12i + 3j +11k

A: x = 3i -3j -7k  y = 12i +3j +11k

Q: Given the three vectors A = 3ix + 2iy – İz B = 3ix - 4iy – 5iz C= ix - İy + İz Find the following:…

A: We have to find the vector

Q: Find the angle between the vectors u = 3i + 2j + k, v = 2i − 3j (a) in radians and (b) in degrees.

A: Vector: u=3i+2j+k v=2i-3j u=<3,2,1> v=<2,-3,0>

Q: H.W 6- Determine which of the following vectors are parallel to A = 4i +6j 1. -4i -6j

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Q: Find the angle 0 between the vectors i + 2j - 3k and -i + 2j + k.

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Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. Enter the vector i as i,…

A: here here we have

Q: Find the angle θ between the given vectors to the nearest tenth of a degree. ​ U = 16i − 8j V =…

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Q: Find the following for the vectors v = - 9i + j and u = - 5i + V3j. a. v•u, Įv], and |u| b. the…

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Q: Find the dot product of the vectors v = 5i - 3j and w = 2i - j.

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Q: Find the following for the vectors u = 6i + 9j + v2k and v = - 6i – 9j – V2 k. a. v•u, v, and u b.…

A: We have to solve

Q: Find the angle between the vectors u = - 5i – 3j and v = 6i + 2j + 5k.

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Q: Find the angle between the vectors i – k and 4i + 4j -2k

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: (a) part Consider the given vectors 9i   ,   5i+4j Suppose the given vectors be  u→  and  v→ such…

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.