38 ao For the following three vectors, what is 3C (2Ā × B)? A = 2.00i + 3.00 – 4.00k B = -3.00i + 4.00f + 2.00k C = 7.001 – 8.00j

Q: Solve the following given vectors A, B and C: A = 2î + 3j + k B = -41 + 2j – k C = 2î – 3j+ 4k a)…

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Q: Q3: Express the vector A = 2√3i + 3√√3j-2√√2k in the primed triad i'j'k' in which x'y'-axes are…

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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: O. Add the following vectors: 5mE;7.5mS60°w;10mN; 3.5m35°N of W.

A: We will first draw the diagram showing the given vectors. We will then resolve the vectors into…

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: Given two vectors A = 9.97 i + 1.92 j- 1.56 k, B = 0.05 i - 7.08 j+ 4.89 k, find the %3D magnitude…

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Q: Let A = 2î + 3ĵ, B = 5î + 2ĵ, and C = 4î - 10ĵ be vectors. Perform the following operations. a. A +…

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Q: If S is a function of (x, y, z) coordinates, and P = Aî - B - Ck where i, j, and k are the unit…

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Q: Find a vector n that is orthogonal to each of the vectors v = (2,0, –1) and w = (1,2, 1). Select…

A: (d) n= (2, -3, 4)

Q: 11 Given the vectors A, B and C. Find the following: A = 3i + 5j - 2k; B = −4i + 2j + 3k; C = 5i -…

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Q: Given two vectors: = -3î + 6j – 5k and Ñ = -2î + 3j + k The magnitude of 2Ñ – Mis (A) 39.2 (B) 7.07…

A: Given Information:- Two vectors are  M→=-3i^+6j^-5k^      and N→=-2i^+3j^+k^   Required:- We need to…

Q: Question: Three displacement vectors of a croquet ball are shown in Figure where |A|-20 units, B =…

A: Magnitude of displacement vectors are, A→=20 unitsB→=40 unitsC→=20 units

Q: What is the sum of the following four vectors: a. In unit vector notation b. as a magnitude and an…

A: The vectors are given as: A→=(3 m)i+(5 m)jB→=[(3 m)cos178°]i+[(3 m)sin178°]j=(−2.998 m)i+(0.1047…

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: Eing (Āx C) - (Č × B) given the following vectors: A = 21 + 5) B = -31 – j+ 2k Č = 1+ 4] ... А 51 B…

A: Vectors, A= 2i^+5j^, B = - 3i^-j^+2k^  and C = i^+4j^

Q: Q3: Express the vector A = 2√3i+ 3√3j-2√2k in the primed triad i'j'k' in which x'y'-axes are rotated…

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Q: The unit vector 3.00 i + 7.00 j is which of the following when expressed as a magnitude and…

A: Given data:  A Unit vector A = 3.00i + 7.00j Required: The magnitude and direction of vector

Q: Three vectors d. b.and C, each have a magnitude of 51.0 m and lie in an xy plane. The direction of…

A: Vectors a→, b→ and c→ lie on the x-y plane given a→=51.0=b→=c→a→ vector makes an angle 32.0° with…

Q: 11 Given the vectors A, B and C. Find the following: A = 3i + 5j - 2k; B = −4i + 2j + 3k; C = 5i –…

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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: If vector C is added to vector B, the result is-91-8j. If B is subtracted from C, (C- B) the result…

A: Given c→+B→=-9i-8jc→-B→=5i+4j

Q: Consider the following 2 vectors: A =3.42 î–6.44ĵ B =2.33 î+4.26} What is the magnitude of Á × B.

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Q: the sum of the three vectors in

A: To Data :  sum of three vectors

Q: A = 2i + j, B = i– 4j + k, and Ĉ = j+k. ... What is the magnitude of the vector - 2Ả – B + Č?

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Q: (Ảx C) · (Ć × B) given the following vectors: Find A = 21 + 5j B = -31 – }+ 2k Ĉ = 1 + 4j A 51 B В…

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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: Find the angle between vectors for (a)D= (-3.0i – 4.0j ) m and A = (-3.0i + 4.0j ) m and (b) D =…

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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: The vector A-B is

A: Correct answer is 4th option    9.53i +0.5j Method involves resolution of vectors in their…

Q: The angle made by the two vectors Ŝ = 37 + 4ĵ +5k and M =3î+4ĵ +5k is: А) о B) 90 C 45 (D 180 E) No…

A: Given that, vector:S→=3 i^+ 4 j^ +5 k^M→=3 i^+ 4 j^ +5 k^   A single point will defer the angle…

Q: 6. Solve for the required using the given vectors B = 4 j + 9k - 5i c. (A X B) x C A = 31 – 8j + 6k…

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Q: The distance vector from pointA (2, –3,1) and B(1,5, –3)

A: given point A =( 2 , -3 , 1)  therefore A→= 2ax-3ay+1az. point B = (1,5,-3) B→= 1ax+5ay-3az.where…

Q: F1 = 123 N at 32° North of West F2 = 987 N at 10° North of East F3 = 543 N South F4 = 456 N at 25°…

A: Given:- F1 = 123 N at 32° North of West F2 = 987 N at 10° North of EastF3 = 543 N SouthF4 = 456 N at…

Q: Find the angle of the sum of the three vectors shown in the figure, measured counterclockwise from…

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Q: 4. When two vectors, A and B, are equal, they must have equal magnitudes, |A| = |B|, or A = B.…

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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^…