The unit vector in the direction of u = (2, 3) is A. (-,1) В. (3, —2) 2 3 V5' V5 3 D. (- V13 2 V13 O E. (- V13' V13 3.

Q: The vector v = ⟨−1, 3⟩ and its Initial point: (4, 2). Find the terminal point.

A: Given: To Find: Terminal Point   Concept:

Q: Find two vectors v1 and v2 whose sum is (-5, –5, 5), where vi is parallel to a =(0, –1, –2) while v2…

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Q: express vector as a product of its length and direction. 1/(3)^1/2 i + 1/(3)^1/2 j + 1/(3)^1/2 k

A: Let the given vector is: v=13i+13j+13k

Q: Find the vector with length 3 making an angle of 7π/4 with the positive x-axis.

A: Given that the vector with length of 3 makes an angle of 7π/4 with the positive x-axis.

Q: Express the vector in terms of it's length and direction. i + 2j - k

A: Solution:Given   i+2j+kTo express in terms of its length and direction.u=vvand v=vu

Q: Find the unit vector u in the direction of the vectorv=(-5, 12, 0).

A: Given          v =( -5, 12, 0 )

Q: Find a unit vector perpen dicular to the plane of the vectors a = (2, -3,1) and b = (1, 2, -4)

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Q: Determine the two unit vectors that are orthogonal to v = (1,2). Which two unit vectors are parallel…

A: Let the required unit vector orthogonal to v be <x,y>

Q: Find the angle 0 between the vectors. u- (3, 2, 0), v = (-2, 3, 4) radians

A: u=3, 2, 0  &  v=-2, 3, 4 Now, u·v=3-2+23+04=0 Now the magnitudes is,…

Q: Find the unit vector that has the same direction as vector v that begins at (1, 4, 10) and ends at…

A: We will find the unit vector that has the same direction with the given vector v in the following…

Q: If a vector gets multiplied by a positive number, its direction will be *.reversed FO TO

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Q: Find two vectors v1 and v2 whose sum is ⟨−5,0⟩, where v1 is parallel to ⟨5,1⟩ while v2 is…

A:

Q: 3. Find a unit vector with the same direction as (3, 4).

A: If we devide each component of vector v by |v| we will get the unit vector Uv.

Q: Find the sine of the angle between vectors u = (-3, 2,6) and v = (3,2,6) by using the cross-product.

A: Given: The vectors u =(-3, 2, 6) and v=(3,2,6) Find : The sine of the angle between the vectors u…

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

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Q: The unit vectors normal to the vectors (2, - 8,11) and (- 3,0,5) are

A: Find unit vector

Q: Order by the magnitude of the angle between the vectors with the pair with the smallest angle…

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Q: Determine the angle that the vector [-1, -1] makes with the positive horizontal X-axis

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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: Find a unit vector that is perpendicular to both ủ = (2,1, 2) and v = (2,– 2,– 1).

A: Given, u→=2,1,2 and v→=2,-2,-1 we are asked the unit vector that is perpendicular to both.

Q: What is the magnitude of the vector (2, 4, –4)?

A: FORMULA

Q: how can i learnd about vector in r2 and r3?

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Q: Find two unit vectors orthogonal to a = (-2, 1, 0) and b = (-4,0, 1)

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Q: Suppose L(5, 4) was reflected across the line y = x then translated along the vector . What is the…

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Q: Then Duf(4, -3) in the direction of the vector 20 (-1, –2) is Let f(x, y):

A: Answer is mentioned below

Q: A vector is described as "A plane with an airspeed of 450 miles per hour is flying in the direction…

A:

Q: If a vector gets multiplied by a positive number, its direction will be .reversed F TO

A: To check: Whether the statement “if a vector gets multiplied a positive number its direction will be…

Q: Find a unit vector u in the direction of v. Verify that u|| = 1. v = (-6, -4)

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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: 9. Which is traveling faster, a car whose velocity vector is 217 +35j or a car whose velocity vector…

A: We are authorised to solve only one question, please repost remaining questions Magnitude of vector

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

A:

Q: Express à = (3, 1, – 1) as B + Č, where B is parallel to the vector (1, 4, 2) and Č is perpendicular…

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Q: [2, 0]. Find the unit vector in the same direction as the vector u

A: Given,          The unit vector in the same direction as the vector u=2,0.We know that,          The…

Q: 1. The vector in the opposite direction to u = (-1,0) and of half its length is 2. The vector of…

A: 1.The vector is u=<-1,0>2.The vector is v=<-4,5,-3>

Q: Find a unit vector in the direction of u = (5, 3, 2).

A: Given vector is u=(5,3,2) Find a unit vector

Q: Express the vectors in terms of their lengths anddirections. -i - j

A: Given vector is: v = -i -j Then we get, The magnitude or the length is: = sqrt{(-1)^2+(-1)^2} =…

Q: A vector is 0.888 m long and points in a 205 degree direction. Find the y-component of the vector.

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Q: Find the angle between vectors v = (1,2,3) and w = (2 -1, 4)

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Q: Determine the angle that the vector [- /3, – 1] makes with the positive horizontal X - axis

A: To find the angle between the vector -3,-1 and positive x-axis

Q: Find a vector u € R' such that, at the point (2, 1, -1), the function f(, v, 2) =-y + 2a2 + has its…

A: Given, f(x,y,z)=-y3+2x2+z2

Q: Find the unit vector that has the same direction as vector v that begins at (0, -3) and ends at (4,…

A: If a vector is of the form ai^+bj^   then its unit vector along the direction v is written as…

Q: Find a unit vector u in the direction of v. Verify that llull=1 v=(-5,-3)

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Q: Find the angle θ between the vectors.u = (2, 3, 1), v = (−3, 2, 0)

A: Given: u=2,3,1, v=-3,2,0 we know that angle θ between two given vectors A=x1i+y1j+z1k, B=x2i+y2j+z2k…

Q: Q/ find the vector whose length -5 and its direction (60°) with x axis

A: Here, the amplitude A=5, and the angle with x-axis is θ=60°.

Q: 2. Find a vector that has the same direction as (-3, 5, v2), but has length 8. 3. If ā = 21 – 43+ 4k…

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

Q: Find two vectors vj and 2 whose sum is (-2, -5), where is parallel to (-3, 4) while vz is…

A: Solution: The objective is to find the vectors

Q: Find a vector perpendicular to the plane of P(1, 4, 4), Q(2, 4, 5), and R(-3, 4, 0). Which axis on…

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Q: Find the angle between the vectors [ -1, 1, 2] and [2,1,-1].

A: Consider the vector: v = −1,1,2w =…

Q: Find the magnitude of the projection of (- 5, 6) onto the vector (– 1, 0)

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.