Find the following using the following vectors v = 5j – 3k, u = i+j+k a. v.u, lv), Ju| b. The cosine of the angle between v and u

Q: Find the angle, to the nearest degree, between the vectors U and V U=4i+5j, V=7i−4j

A: Consider the given vectors U=4i+5j , V=7i-4j First, find the dot product of vectors of U and  V…

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

A: topic:- vector algebra

Q: Find ||7e – 4f|l, assuming that e and f are unit vectors such that ||e + f|| =

A: Suppose e and f be the unit vectors such that e+f=32 First, find the dot product of the vector e…

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

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Q: For the following pair of vectors, find U · V. U = 6i + 7j, V = 7i + 6j

A: This question is based on Dot product.

Q: Find the angle between the two vectors, rounded to the nearest tenth of a degree: u = i +j+k, v = 3i…

A: Given Data: Two vectors: u=i+j+k=1, 1, 1v=3i-4k=3, 0,-4 The dot product of two vectors is, u·v=1, 1,…

Q: given two vectors v m which are perpendicular. under which condition is V+W perpendicular to V-W?

A: Since vectors v and w are perpendicular so, their dot product is 0

Q: When the angle between vectors u and v is between 0° and 90°: || You can't tell O t • 0

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Q: Given the vectors U =i- 2j +k, V = 2i +j+k and W = 3i - j+2k, compute the following: (a) Ux V (b)…

A: We will apply dot product formula and cross product formula.

Q: The angle between two unit vectors e and f is π/6 . What is the length of e × f?

A: The angle between two unit vectors e and f is π6.

Q: Let v and w be vectors in R° such that v · w = Which of the following is a possible angle between v…

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Q: Rewrite the following vectors in term of unit vectors а. ОP %3D (9, -2) b. 0Q = (7,0,8)

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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: 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: Suppose that |u| = 10 and |v| = 7, and that u • v = -55. Find the angle θ between the vectors u and…

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Q: 14. The accompanying figure shows nonzero vectors v, w, and z, with z orthogonal to the line L, and…

A: Given V and W make any equal angle with L. |v| = |w| Z and L are orthogonal to each other.

Q: The angle u= between the two vectors \(\) and U= is equal to 0=T

A: We know that angle between two vectors is given by θ=cos-1u→·v→uv Here, u→=-4,2,1 and v→=-20, 10, 5.

Q: Find the angle between the following vectors relative to the Euclidean inner product on ℝ2. a.…

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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: 3. Given the vectors v = i- 2j – 2k and w = 31 – 5j + 4k, find (a) the cosine of the angle between i…

A: The given vectors are, v→=i-2j-2kw→=3i-5j+4k The magnitudes of the vectors are as,…

Q: Compute the following quantities: (a) ||u|| (b) ||v|| (c) Angle between vectors u and v. u = 2 5 1…

A: Given that, u=251, v=-1-46 Calculate the following quantities: (a) u (b) v (c) Angle between vectors…

Q: Given v = 2i + j, w = 6i + 3j, find projw v. Then decompose v into two vectors, v1 and v2, where v1…

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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: The angle between the vectors i + 2j + k and 3i+ j - 5k is

A: Given: Let, A=i+2j+kB=3i+j−5k

Q: For the given vectors a and b, find the cross product a x b. a = i +j+ k, b = 5i - 2k

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Q: Suppose that u and v are unit vectors in R°. If the angle between u and v is T/4, then what is the…

A: Given that vectors u and v are unit vectors and angle between vectors u and v is π4.  We know that…

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: и %3D —3і + бј, w%3 -2i – 5j u = W =

A: Here I am attaching image so that you understand each and every step. Given option are not match…

Q: Given the vectors →u=−6i−3j and v→= 10i+5j perform the operations below. →u+→v=____________ →u−→v=…

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Q: Sketch the following vectors and find the angle between them. V=(2,7)  u=(8,1)

A: To determine the angle between the two 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 the following pair of vectors, find U · V. U = 6i + 2j, V = −6i + 2j

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Q: Consider the graph provided find the length of the vectors u and i

A: Solution and Explanation is given below....

Q: Determine the angle between the two vectors: x = ai+bj+ck and y = di+ej+k where a = 2, b = 5, c = 1,…

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Q: The area of the parallelogram whose adjacent sides are the vectors u and v is a) Ju · v| c) Ju x v|…

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Q: Given the vectors s = 6i-4j and t=-i+2j, find s t. S.t = i j

A: topic - dot product of vectors

Q: Find the value of a so that vectors U = ai + 6j and V 5= 9i + 12j are perpen dicular.

A: Our Aim is to find the value of a so that the vectors U=ai^+6j^ and V=9i^+12j^ are perpendicular.

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: b) Find the value(s) of z such that the angle between the vectors U₁ = and U₂ = is equal to 30°.

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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: What are the possible angles 0 between two unit vectors e and f if ||e x f|| V? (Let 0 <o Sn. Enter…

A: The modulus for the cross product for 2-unit vectors e and f are given. The modulus for the unit…

Q: If u, and u2 are orthogonal unit vectors, and v = au, + bu2, find v•uq. = 'n.a v•u,

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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 following vectors: di = 3î – 2j, d, = -5î + 2j – k What is (di + dz) · (dị × (4dz))?

A: d1 =3i-2j+0k d2 =-5i+2j-k

Q: Find the angle between the given vectors. Round to the nearest tenth of a degree. u- 2j, v = 9i - 4j…

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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: Given r(t) 12ti + 5cos ti + 5 sintk, find the unit binormal vector and torsi =

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Q: For what value of "c" are the following vectors perpendicular? 3 (2, с, 9) аnd ў 3 (Зс, —1,5) (Зс, —…

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Q: Perform the following operations, given the following information about the vectors: Given u =, v =…

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Q: For vectors v and w E R, show that: (a) |u x v||? = ||u||2 ||v||2 – (u - v)2 (b) ||u x v|| =…

A: derive a formula for the magnitude of v×u, for nonzero vectors v,u:…