For the following three vectors, what is 2. Ć ·(3 Á × B )? В = 3.00î + 3.00ĵ – 4.00k B = - 3.00î + 2.00ĵ + 3.00k Ć = 7.00î – 8.00f A %3D - -

Q: In Problem,decompose v into two vectors v1 and v2 where v1 is parallel to w and v2 is orthogonal to…

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Q: What geometric relationship must two vectors have in order for ||u + v|| = ||u|| + ||v|| ?

A: The expression ∥u+v∥denotes the norm of u+v, ∥u∥denotes the norm of u and ∥v∥denotes the norm of v.…

Q: a vectors p = (2) and t = (,).

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Q: The unit vector which is perpendicular to both r138ax+3ay-2az, * r2=2ax+7ay-6az is equal to a)…

A: As per our guidelines, we are allowed to answer only question. Since, you have posted multiple…

Q: Find the B-coordinate vectors of ei and e2, where and B : %3D %3D %3|

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Q: Find cos(0) if 0 is the angle between the vectors u= 2i + 2j – k and v = 3i + 4k

A: Consider the two vectors. u=2i+2j-k and v=3i+4k It is given that θ is the angle between the vectors.…

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Q: 19 Use the given vectors to find V.w and V-V V= 6i-25, w=-4i-3

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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: find "a" so that the vectors v=i-ja and w=2i+3j are orthaganal?

A: Given,  v=i-ja and w=2i+3j Two vectors are orthogonal if and only if their dot product is zero

Q: Consider the vector v = (x, 2) in R2. If you rotate the vector by 90-degrees counter-clockwise, then…

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Q: 4. Find two unit vectors orthogonal to both j-k and i+j.

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Q: 27. Given the vectors a and b, where a = 21 – 2j + 2k and b = 3i – j + 2k are coplanar vectors, a x…

A: Given vectors are a=2i-2j+2k and b=3i-j+2k are coplanar vectors. To find: a×b Solution: We have…

Q: Consider the following vectors: 2 3 u = 3 v = -4 W = 17 2 Express w as a linear combination au+bv.…

A: The given vectors are  u=23-1  , v = 3-42,  w= 017-7

Q: Find the cosine of the angle between the vectors P1 (x) = 1 + 2x – x² and p2 (x) = 2 – 3x – 2x² with…

A: We have to solve given problem:

Q: Find cos(0) if 0 is the angle between the vectors u = 4i – 3k and v = 2i – 2j + k

A: Given,           u=4i+3k           v=2i-2j+k

Q: Find the angle between the vectors u = /2i - 9j and v =v2i+j-2k.

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Q: (3) For what value(s) of a will the vectors u = 2i + 4j-5k and v= -4i-8j + ak be parallel? V ا ) وہ…

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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: What are the possible angles θ between two unit vectors e and f if ||e × f|| = 1/2 ?

A: The cross product of two vectors can be found by the formula a→×b→=a→b→sinθ The magnitude of the…

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Q: Find the magnitude only for the vector from T(-2, 6, 1) to U(10, -3, -4).

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

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Q: In the accompanying figure, it looks as if v1 + v2 and v1 - v2 are orthogonal. Is this mere…

A: Given figure shown below.

Q: 7 Consider the vectors: U = 1 v = w = -2 2 Express W as a linear combination au + bv. What is b'?

A: WRITE  W AS A LINEAR COMBINATION OF U AND V ie. w = au + bv Using Row Elementary Transformation,

Q: At what value of k are these vectors collinear?

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Q: Find the angle between the two given vectors. u = (1, –4, 1), v = (0, 2, –2)

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Q: The unit vector which is perpendicular to both r1=8ax+3ay-2az, * r2=2ax+7ay-6az is equal to a)…

A: Given That: The unit vector is perpendicular to r1=8ax+3ay-2az & r2=2ax+7ay-6az

Q: (2) For the vectors ä = (-1,3, 4) and 5= (-2,2, 0) calculate the following: (a) ãoË (b) ä x b (c) A…

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Q: Find the following for the vectors

A: Given that: v=-9i+ju=-5i+7j     NOTE: As per our answering guidelines, we can only answer 1 question…

Q: Given the following vectors: ü =, i = Find u x v.

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Q: Consider the following vectors: -4 3 -4 -2 1 |, w = -2 , and b = -2 v 1 4 When b is expressed as a…

A: .

Q: Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i - 2j + 2k. -Y. 3. Find the unit vector…

A: Follow the procedure given below.

Q: Find the angle between the vectors u (2, –1) and v = (1, 1).

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Q: For the pair of vectors, find 3U- 4V. U = (3, 2), V= (-4, 3)

A: We have to find 3U - 4V

Q: Consider the vectors x"(t) = (10) and x"() - 8t

A: Given, The two vectors  and

Q: Consider the vectors cO 1 (2 1 2) (1 1 0) in R3. Find the value of c, for which given vectors are…

A: The given vectors,c01, 212, 110

Q: For what value(s) of a is the angle between the vectors ⟨4, 1+ 2a, 4⟩ and ⟨1, 4, 4 − a⟩ obtuse?

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Q: 41. Find the value of A if the vectors i+ Aj+3k and-2i+j-4k arc parallel. uectors ii + 3k and 2i -

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Q: how is C equal to the difference of vectors A and B?

A: Dear user, Please read the question. We need to express Vector A in terms of sum of  B and C.

Q: What is the unit-vector notation for each of the following vectors, all with magnitudes of 33.5? (a)…

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Q: QUESTION 1 Using the vectors V1 = (a) 10v₁-4v2 (b) (15)v₂ 3 -6 2 -5 H 2 and V₂ = 11, compute the…

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Q: Using a convenient scale, find the resultant of the following vectors graphically: 10m at 40o with…

A: According to Polygon Law of forces, if a number of coplanar forces acing at a point is represented…

Q: 3. Find the angles between the vectors: u = 2i + j, v = i + 2j – k а. -

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Q: For the following three vectors, what is  2⋅C→⋅(2A→×B→) ? A→=3.00î+4.00ĵ-4.00k̂…

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Q: Find the angle a between the vectors 日- 2 and a =

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Q: For the vectors ü = 2î + 3j – 2k ö = -Sî - 2j – 7k w = 3î + j – 9k the value of [(- ü) x (u – w)].…

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Q: One of the following vectors lies in span{ 2+ x +x², 3+x – 2x? } (A) 3 + 2x + 4x² (B) 3 + 2x + 5x?…

A: We have to find

Q: Find the angle a between the vectors L3] and]

A: Find the angle between vector s