State the difference between a position veetor and a line vector.

Q: Are vectors (금 ) and (금, 1, 금)' orthogonal? Justify. V3

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Q: Define the term Parallel Vectors?

A: Parallel vectors: The vectors that are parallel if they have the same direction.

Q: C A

A: We use Triangle law

Q: Find the unit vector in the direction of v and verify that it has length. v = ⟨−6.2, 3.4⟩

A: Now magnitude is,

Q: How is the angle between two vectors defined and how is it computed?

A: the angle between two vectors is computed using cosθ

Q: The law of transportation for a covariant vector is transitive.

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Q: What’s the difference between a ray and a vector?

A: The vector has finite magnitude and direction, while the ray has direction  and starting point and…

Q: If vector a= and vector b= are vectors a and b orthogonal, parallel, or neither? Provide

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Q: A three-dimensional unit vector parallel to the y-axis is

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Q: find the given vector  Vector of length 2 in the direction opposite to v = i − j

A: A vector oppositely directed to v=i-j is is u=-v=-i-j=-i+j                   u=-i+j A unit vector eu…

Q: is The unit vector in the direction of v=(4,0,–3)

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Q: Find the angle between vectors and

A: Given vectors are same i.e. they are parallel.

Q: A vector that has a magnitude of 1 is a ________ ________.

A: Fill in the  blanks in the statement " A vector that has a magnitude of 1 is a ________ ________.…

Q: Find the length of the vector a %3D

A: The length of a vector x→=abc is given by the equation; ||x→||=a2+b2+c2

Q: Find a unit vector in the direction of the given vector

A: Given:        v=-9,-12 Unit vector formula is the vector divided by its magnitude.  The formula for…

Q: Define the term Orthogonal vectors.

A: Given, Define the term Orthogonal vectors.

Q: The vector which has length 2 and direction opposite to u?

A: We have the given vector as u=-122   We have to find a vector that has length 2 and direction…

Q: Show that if a particle moves with constant speed, then the velocity and acceleration vectors are…

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Q: What is the vector translating A to B? B to A? What is the effect of a translation?

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Q: 2. Find the unit vector in the direction of

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Q: Find the angle between the vectors and .

A: Given vectors a=-2i-j+3k b=2i+j-3k

Q: A person swims 6.4 meters per second north while being pushed by a current moving west at 2.1 meters…

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Q: Is it possible to have ||u−v|| = ||u + v|| if u and v are nonzero vectors? Justify your conclusion…

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Q: Find the vector of length v7 in the direction of AB + AC

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Q: Compute the distance between the vectors u = and

A: Given vectors are u=42−16 and v=4315. We have to find the distance between the vectors u→ and v→.…

Q: Find the unit vector in the directions of v, where Ans = %3D

A: To find unit vector in the direction of v, divide it by the length of v.

Q: Show that the vector v = ai + bj is perpendicular to the line

A: GivenVector V = ai + bj and the line ax + by + c

Q: What is the magnitude of the vector v with initial point P = (-4, 3) and terminat piont Q = (2, -5)…

A: A detailed solution is given below

Q: 1. Describe the vector that translates DEF to D'E'F'.

A: Given,          The vector that translates DEF to D'E'F'.

Q: Define the term vector.

A:

Q: Define the points P(-4, 1), Q(3, -4), and R(2, 6).

A: Given P-4,1, Q3,-4, R2,6 To find the unit vector with the same direction as QR→

Q: Find the vector with length V17 and same direction as i= (7,0, –6).

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Q: Define the vector?

A: we have to define the vector.

Q: The angle between the two vectors is not equal to Select one: O True O False u= and v= 0= π

A: Here we use the concept of dot product of the vectors.

Q: Find the magnitude of the vector u =

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Q: Find a unit vector, u, in the same direction as vector v = .

A: Recall: Unit vector:  Let u→ be any vector then unit vector is            u∧ = u→u→

Q: Find The Steady Sta a vector for tho transiton mutro

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Q: B. Find a vector has length 10 in the direction of vector V=.

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Q: i. What are the lengths of the x- and y-components of this vector? 10

A: Find your answer below

Q: Is the vector projection of B onto A, perpendicular to B? Is the angle between projAB and the vector…

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Q: Find unit vectors Parallel to the YZ Plaane and PerPendicular to the Vector V = 51-j+2k ?

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Q: What is the magnitude of the Vector PQ. P=(1,11) and Q= (9,3)

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Q: Find the unit vector in the direction of v and verify that it has length 1. v = ⟨3 /2, 5/ 2⟩

A: Given vector is v=32,52. To find the unit vector in the direction of v and to verify that it has…

Q: What is the vector j?

A: We have to tell what is vector j   it is also written as j→

Q: Assuming vector B is 12 units long, vector 4B is:

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Q: Find a unit vector that has the same direction as the given vector. ‹-3, 3, 4›

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Q: What is a position vector?

A: What is a position vector?

Q: Let vector u = and vector v . Find the magnitude of 3u-4v. Round to one decimal place.

A: Let vector u= <3, 4> and vector v = <6, 7> then find the magnitude of vector 3u-4v.