For what value of t if any, is the vector 5t, 1] parallel to the vector (4, -1) ?

Q: (2) Given u = [2 1 2]T, find a vector v so that the angle between u and v is 60° and the orthogonal…

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Q: 27. Find a unit vector that is orthogonal to both i +j and i+ k.

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Q: Find the angle between the vectors. (First: v = -21 exact u = i- 6j + k, approximate xx x +

A: topic:- vector algebra

Q: For what value of t , if any, is the vector ( 2t, -1) parallel to the vector (4, -1) t = 2 OA t=8…

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Q: For what value of t, if any, is the vector (1, 4t) parallel to the vector (4, - 1) ? Not O A. 1 O B.…

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Q: or what value of t , if any, is the vector (2t, 1) parallel to the vector (4, -1) t =-2 DA. t = 2…

A: Given that vector 2t,1 paralle to the vector 4,-1find t

Q: Find ||e − 4f||, assuming that e and f are unit vectors such that ||e + f|| = √3.

A: The step-by-step solution to the given question is ..  we have ,  e+f=3..........(1) we have to find…

Q: 4. Find the vector v that is orthogonal tou=i+j+k and whose r-component and z-component are 2 and…

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Q: For what value of t, if any, is the vector (8t, 2) parallel to the vector (4, -1) ?

A: Given vectors:A= <8t, 2> and  B= <4, -1>

Q: [:] [] Find c so that the vectors and are parallel.

A: Find c so that the vectors c4 and 25  are parallel. Let u=c4 and v= 25 be two vectors. Two vectors…

Q: For what value of t , if any, is the vector (8t, 2) parallel to the vector (4, -1) ? 1 O A. t=- 4 В.…

A: Now we will find the value of t .

Q: For what value of t, if any, is the vector (4t, -1) parallel to the vector (4, -1) ?

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Q: For what value of t, if any, is the vector (2, -4t) paralel to the vector (4, -1) ? t O A -2 %3D 1…

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Q: Consider the vector v = 1 and the vector "function" w(k) = 1 For what value of k are i and w(k)…

A: Two vectors v→ and w→ are said to be orthogonal if v→·w→=0 Given v→=111w→=11k

Q: Let b be a vector in R" satisfying the following equation. 4 3 =Db 7. Then m- and b

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Q: Find the positive value of m that makes the angle between the vectors equal to 5 a = i +j+k b = mi –…

A: Given that, a⇀=i^+j^+k^ b⇀=mi^-k^ Then we get, a⇀·b⇀=i^+j^+k^·mi^-k^a⇀·b⇀=m+0-1=m-1 Moreover we get,…

Q: For what value of t , if any, is the vector (2t, 1) parallel to the vector (4, -1) ? Not OA. t = -8…

A: Given two vectors: (2t,1) & (4,-1) Since both vectors are parallel so the angle between then is…

Q: Given the vector u (- 5, 2), find the magnitude and angle in which the vector points (measured %3D…

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Q: Given the vector u 2i + 1j, find the - magnitude and angle in which the vector points (measured…

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Q: Find the vector z, given that u = , v = , and w = . z = 8u - 3V - -W 2 1. Z =

A: We have been given the vectors  u = <1, 2, 3> v = <2, 2, -1> w = <4, 0, -4>

Q: For what value of t,if any, is the vector (1, 4t) parallel to the vector (4, - 1)? Not OA. t = -2…

A: If the Vectors u and v are parallel then u=kV , K is any scalar.

Q: For what value of t , if any, is the vector (4t, -1) parallel to the vector (4, -1) ?

A: Given :4t,-1 and 4,-1

Q: Given: f(x, y) = 3x² – 2y² at (-,0) in the direction from P(-,0) to Q(0,1). . What is the unit…

A: The given problem is to find unit vector of the function in which direction from point P(-3/4,0) to…

Q: For what value of t, if any, is the vector ( 2t, -1) parallel to the vector (4, -1) ? 1 t = 4 OA. t=…

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Q: The vector u has length 10 and points at an angle of 15∘ The vector v has length 18 and points at an…

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Q: For what value of t , if any, is the vector (4t, -1) parallel to the vector (4, -1) ? OAt=1 OB. t= 2…

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Q: The vector y which is collinear with the vector u= and satisfies the condition u.v= 3, is O O O…

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Q: Compute the length of the given vector. (t) = 2t + 7 and q(t) = 7t - 5, where to = 0, t₁ = 1, t₂ = 2

A: We have to find the length of the given vectors.

Q: Which of the following vectors are equal to j × i?(a) i × k

A: We know that, i×j=k Therefore, j×i=-k Hence the answer.

Q: For what value of t , if any, is the vector ( 2t, -1) parallel to the vector (4, -1) t= 2 OA. No t…

A: Solution: The objective is to find the value of t

Q: Find the angle between the vector through the origin & the point (1,1,1) and the component of Ā = 2i…

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Q: Given the vector u (6, – 6), find the magnitude - and angle in which the vector points (measured…

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Q: Given the following vector quantities: A = (50, 30, 20) N and B = (30, 20, 30) N, determine;   The…

A: To find the magnitude and direction with respect to each axis of the vector product

Q: For what value of t, if any, is the vector (4t, -1) parallel to the vector (4, -1)

A: G

Q: Given that ? = (5,4,0) ??? ? = (−1,4, −3) , find the unit vector along the direction of a vector…

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Q: For what value of t , if any, is the vector (2, 4t) parallel to the vector (4, -1) ? 1 No t OB. Oct…

A: Using the condition of parallel vectors to find value of t.

Q: For what value of t, if any, is the vector parallel to the vector (4, -1) Not t = -8 B -2 Oc. t = OD…

A: If any two vectors u and v are parallel then u=s·v where s is any scalar. The vectors 12t, 1 and 4,…

Q: Given the vector u (2, 2), find the magnitude and - angle in which the vector points (measured…

A: Given that: u→=2,-2. Therefore, magnitude of the vector is= u→=22+-22=22.

Q: The vector u has length 11 and points at an angle of 20° The vector v has length 18 and points at an…

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Q: For what value of t, if any, is the vector t, -1 parallel to the vector (4, - 1) ? OAt=- 16 OB. t =…

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Q: Given the vector u = ( – 5, – 6), find the magnitude and angle in which the vector points (measured…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: . Prove: If a and b are both unit vectors, then axb is a unit vector only when a and b are…

A: since you have asked multiple questions in a single request, we would be answering only the first…

Q: For any vectorV and unit vector U parallel to V , then D-

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Q: For what value of t , if any, is the vector (2, -4t) parallel to the vector (4, -1) No t O A. 1 %3D…

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Q: Q2) Suppose a vector y is orthogonal to vectors u and v. Prove or give a counter example that y is…

A: Given that y is orthogonal to vectors u and v. To show: y is orthogonal to vectors u + v or not.

Q: Given that u =, and z = What is the x component of the resultant vector w = Зи + 22

A: Given: u=4,-5z=-11,-10

Q: Find a vector B for which that is parallel to A =-6i +3j –2k but has the opposite direction.

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Q: Consider the lines 3 - z x – 5 l1 : 2 and I. Find two unit vectors that are parallel to l1.

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Q: For what value of t, if any, is the vector 1 t, -1 parallel to the vector (4, - 1) ? t 8 OA. 1 t= -…

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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.