Question 9 Find (À x C) · (Č×B) given the following vectors: A = 21 + 5j B = -31 – j+ 2k = 1 + 4j

Q: What is the angle between vectors A and B if A = 2i + 2j - k and B = 5i -3j + 2k? a. 84° b. 57° c.…

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Q: Two vectors are given by A = 3 î + 6 ĵ and B = -1 î + ĵ.  Find A x B Find the angle between A and B

A: Given value--- Two vectors are given by A = 3 î + 6 ĵ and B = -1 î + ĵ.  We have to find--- Find…

Q: Given vector A = and vector B = , what is A dot B?

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Q: The vectors A and B are given by A = 2î + 3j and B = -i + 29.  (A) Determine the scalar product…

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Q: en these two vectors: : = (4)î + (6.5) + (8.3)k B = (6.2)î + (1.8)ĵ + (5.6)k Find the magnitude of A…

A: We will use vector addition in this problem,

Q: A = 6i + 2j - 3k B = 3i - j - 2k C = -i + j - 4k D = j - 3k E = -i + 2k F = -5k G = 2i H =…

A: For two vectors to be perpendicular to each other, their dot product must be zero.

Q: Find the angle between the two vectors: A = 10î + 5ĵ – 3k and B = 5î + 2ĵ + k

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Q: 1. Two vectors A = 2 i +2j +3k and B = 2 i-3j +Ak have the same magnitude. Find out the value of the…

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Q: Two vectors a and b have magnitudes 2√/2 and 9 respectively. Also, a b = 18. Find the angle between…

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Q: You are given the following two vectors:  a = j + 2k, b = 2i - j  1. Calculate the scalar product…

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Q: Two vectors A = 1î - 2j and B = 2î + 3]. %3D Find the approximate angle between the vectors (-3A)…

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Q: Three vectors, A, B,7 are given as A, = 3, A, = -2, A; = 2, B, = 0, B, = 0, B, = 4, C, = 2, C, = -3,…

A: A→=3i^-2j^+2k^B→=0i^+0j^+4k^C→=2i^-3j^+0k^a)A→·B→+C→=3i^-2j^+2k^·0i^+0j^+4k^+2i^-3j^+0k^…

Q: ce The figure shows two vectors, A and B, with A = 14.6 m, B = 4.58 m, 0 = 33°, and = 38°. Let C =…

A: Given,  A= 14.6m B= 4.58m  θ=33°  ϕ=38°

Q: Question 8 Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j + k The magnitude of vector N is: A…

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Q: Determine the angle in degrees between vectors P & Q.   P = 13i −5j + 21k m Q = 12i+4k m

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Q: 6. Position vectors of two particles, A and B are given: A = 31 + 4j + 5k meters B = -4i + 2j - 7k…

A: Given data A=3i+4j+5kB=-4i+2j-7k Given that the third vector C is the cross product of vectors A and…

Q: Given the vectors A = -5i - 3j - 8k ; B = 4i - 2j + 3k ; C = 10i -12j - 8k a. Find A x B b.…

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Q: Find the angle between ?⃗⃗ = [1, −2,4] and ?⃗ = [−2,0,3] when they are positioned tail to tail.…

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Q: 2. Three vectors are given as below. A = -4.5 î + 2.0 ĵ + 2.9 k B = -2.0 î – 4.0 ĵ + 2.0 k C = 2.5 î…

A: The three vectors namely vector A, B, and C are given as follows:…

Q: Solve if the 1. 2. 3. 4. following vectors is a basis: Ả = in – 3iz + 2ig - B = 21₁ - 41₂ - i3 C =…

A: (1) Given that A=i1-3i2+2i3 B=2i1-4i2-i3 C=3i1+2i2-i3 The required solution is following in step 2…

Q: The angle made by the two vectors S = 37 + 47 +5k and M = 31 +4) + 5k js A 180 B) 45 90 E) No Answer

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Q: 3. Given the following vectors: A = 2î + 5ĵ; B = 6î – 2j; and C = resultant vector R. 4. Find the…

A: Resultant R̅ =A̅+B̅+C̅

Q: Three vectors are shown in the figure below, along with an x-y coordinate system. y (m) 34 2- A -5…

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Q: What is the vector product of the following vectors? Show your solution A = 3i+5j - 2k and B = −4i +…

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Q: Q1) given vectors (A = 4ax – 2a, + 2a,), (B = –6ax + 3a, - 3a,), and (C = ax + 3a, + az), find (i)…

A: A→ = 4ax - 2ay + 2azB→ = -6ax + 3ay - 3 azC→ = ax + 3ay + azMagnitude of A→ = (4)2 +(-2)2 + (2)2|A|…

Q: A) Write the vector form of D, E, and F. B) Find F x D · E 7 in E 15 in 12 in F 10 in

A: position coordinates:a: 0,10,0F:12,10,0c:0,0,15g0,0,15e12,0,0

Q: Question 5 Solve the following given vectors A, B and C: A = 2î + 3j+ k B = -41 + 23 – & č = 2î –…

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Q: Given vector A =   and vector B = , what is A dot B?

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Q: Find the angle between two vectors C= 2i+3j+k and D= 2j-4i-k *

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Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

A: a=(1,-4,1) b=(0,5,-5)

Q: Ā = 2i – 5j + k B = 3i + 4k C = 2i – j+ 2k Find: a) The magnitude and direction of R = Ã+ B + C

A: a) R→=A→+B→+C→=(2i^-5j^+k^)+(3i^+4k^)+(2i^-j^+2k^)=2i^-5j^+k^+3i^+4k^+2i^-j^+2k^=7i^-6j^+7k^…

Q: In unit vector notation, å, and åz vectors are given as å, = -3î + 6ĵ + 2k and åz = -2î – 5j + 2k.…

A: Introduction : Angle between two vectors can be found by taking their dot products. Given :…

Q: Given vector A =   and vector B = , what is A dot B?

A: Given            A = <10, 20, 18>          B = <16, -17, -24>

Q: Question 1 Vector A starts at point (1, – 1,5) and ends at (4, -1,0). Find a unit vector in the…

A: There are two types of physical quantities in general- scalar and vector. The scalar quantities are…

Q: 7. Position vectors of two particles, A and B are given: A = 31 + 4j + 5k meters B = -4i + 2j - 7k…

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Q: Given two vectors: M = -31 + 6j – 5k and Ñ = -21 + 3j + k %3D The magnitude of vector N is: A 3.74…

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Q: For the vectors A = 2? •38, B= 39- 5 2, and find: %3D - (a) V = A B+C (b) V (C) V

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Q: Question 19 Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j + k The expression 2Ñ - Mis: A No…

A: M→ = -3i^ + 6j^ -5k^N→ = -2i^ + 3j^ + k^To find : 2N→ - M→

Q: Find the magnitude and direction angle of the given vector. A. u=(3, 8) B. u=(4, 7) C. u=(5, - 1)

A: Given:- given vector. A. u=(3, 8) B. u=(4, 7) C. u=(5, - 1) Find:- The magnitude and direction angle…