For the following three vectors, what is 3C · (2 A✕B )?  A= 2.00i + 3.00j − 7.00k  B= −3.00i + 7.00j + 2.00k  C= 3.00i − 8.00j

Q: Find the angle between the vectors A = −2i + j − 2k and B = 2i − 2j.

A: Now angle between the two vectors will be , cos-1a→·b→a→b→

Q: Two vectors are given by a→=1.5î+5.7ĵ and b→=1.4î+2.2ĵ. Find (a)|a→×b→|, (b)a→⋅b→,…

A: Given,  a→=1.5i⏞+5.7j⏞b→=1.4i⏞+2.2j⏞

Q: Which of the vectors is the result of P+ Q?

A: Required : Direction of the resultant vector.

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

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Q: The two vectors (3 m) – (7 m and (2 m + (3 m – (2 mk are in the same plane.. Which of the following…

A: Let A and B denote the two vectors in the same plane and C denotes the cross product of these…

Q: Consider the vectors A = 6i + 3j and B = 3î - 6j.

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Q: Determine the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i +…

A: Basically when we make dot product of two vectors then we get the angle between the vectors. Here…

Q: 4) Two vectors, A= 2x 3y and B= 4x 4y. The magnitude of A+B is: A) 4.3 B) 5.1 C) 7.8 D) 6.4 E) 9.2

A: A→=2x^-3y^B→=4x^-4y^where x^ and y^ are unit vectors along x and y directionso…

Q: Given that u is a vector of magnitude 2.5, v is a vector of magnitude 3 and the angle between them…

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Q: it strikes the A) 34.3 B) 24.3 C) 19.6 D) 14.3 E) 8.3 3) A ball is kicked from ground level with a…

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Q: Consider the two vectors,A = 14x + 35.5y B = 5.2x - 24.5y. What is the magnitude of 3A+B

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Q: Given two vectors A= 4.00i + 7.00j and B= 5.00i - 2.00 j, find the magnitude of each vector?

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Q: We have two vectors A=(57.8, 12.5 degrees) and B=(19.0, 140.3 degrees). What is the x-component of…

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Q: for vector A=1.00i-2.00j and b=3.00i+4.00 jwhat are the magnitude and direction of vector c= A +B

A: Addition of two vectors A→=axi^+ayj^+azk^ and B→=bxi^+byj^+bzk^ is given by-…

Q: Find the angle between vectors for (a)D ⃗ = (−3.0i ^ − 4.0j ^ )m and A ⃗ = (−3.0i ^ + 4.0j ^ )m and…

A: (a)

Q: Two vectors are given by 7 = 8.5 + 8.4 and 3 = 1.li + 3.5). Find (al a x 3 |) a - B.c0( a +3). 3.…

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Q: For the vectors in the figure, with a = 3.60, b = 2.70, and c = 4.50, calculate (a) a b, (b) a.7,…

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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: Given the following vectors: Then, (A-2B)xC is: A. 9.8 B. 2.45 C. 44.4 D. 22.6 E. 3.7

A: Concept:- the magnitude of any vector A→ = xi^ + yj^ + zk^is given byA→ = x2+y2+z2

Q: Two vectors are given by a = 3.3i + 4.1j and b = 6.6i + 5.5j. Find the component of (a) along the…

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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: Find the A)magnitude of vectors A and B, B)the unit vectors expression for A-B, and the magnitude…

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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: What is the vector product of A = 2.00 i^ + 3.00 j^ + 1.00 k^ and B = 1.00 i^ - 3.00 j^ -2.00 k^?

A: The given vectors, A→=2.00 i^+3.00 j^+1.00 k^B→=1.00 i^-3.00 j^-2.00 k^

Q: What is the resultant vector of two vectors where one has a magnitude of 5 cm pointing 60° N of E…

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Q: the two displacement vectors with magnitudes of 6.0 m and 8m which could not be a possible choice…

A: Given that, the magnitudes of the two vectors is 6 m and 8 m. Then two extreme positions case of…

Q: Consider the two vectors, A = -3.1i + -2.07j and B = -1.06i + -4.59j. (a)What is the magnitude of C…

A: Write the sum of vectors A and B

Q: Given two vectors: M = -3i + 6j – 5k and N= -2i + 3j + k The magnitude of 2N - Mis A 7.07 B 39.2 C…

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

Q: Express the 8.9-kN force F as a vector in terms of the unit vectors i, j, and k. Determine the…

A: Solution: Given That F = 8.9 kN by taking vectors , we can find Fz = 8.9 sin31° Fz = 4.58 kN F' =…

Q: Here are three vectors in meters: d→1=-6.50î+8.40ĵ+9.60k̂ d→2=-2.00î-4.00ĵ+2.00k̂…

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Q: The three vectors in the figure have magnitudes a= 3.20 m, b 2.70 m, and c 10.3 m and angle 0=…

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Q: Two vectors are given by A = 3i – 23 + 4k and Ảx B. B = 6j – 2k. Ignoring units, calculate

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Q: For the following three vectors, what is 50 (2 x B)? A = 2.00î + 3.00ĵ – 6.00k B = -3.00î + 2.00ĵ +…

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Q: Given two vectors: M = -3i + 6j – 5k and N= -2i + 3j +k The magnitude of 2 – Mis (A 202 B) 7.07 6.08…

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Q: For the following three vectors, what is  3⋅C→⋅(2A→×B→)…

A: (2A X B) can be calculated as follows,

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

A: The three vectors,

Q: Given two vectors that starts from the origin: A = 2i – 7j and B = I – 3j – 5k. What is the length…

A: Given,  OA = 2i - 7 j  OB = i - 3 j - 5 k  As we know, from the rule of vector addition and…

Q: A point in the xy plane have Cartesian coordinates (3.00, 5.00)m. Calculate the magnitude of the…

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Q: Two vectors are given by á = 5.4i + 5.6j and b = 4.8i + 2.3). Find (a) a x b, (b)a · b,c)(d + b) .…

A: Given vectors: a→=5.4i^+5.6j^b→=4.8i^+2.3j^

Q: For the following three vectors, what is 3 · Ć · (2Á × B ) ? = 4.00î + 3.00ĝ – 4.00k B = -3.00î +…

A:

Q: Determine a unit vector parallel to the resultant vector of 2i + 9j – 9k lb, – 2i – 6j + 8k lb, and…

A: Given: First vector (v1)→ = 2i^ + 9j^ - 9k^ lbSecond vector (v2)→ = -2i^ - 6j^ + 8k^ lbThird vector…

Q: The three vectors given are ā = 5.0 î+4.0 j-6.0 k b =-2.0 i+2.0 j+3.0 k č = 4.0 î+3.0 j+2.0 k The…

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Q: Given the vectors M = -10a, + 4a, – 8a, and N = 8a, + 7a, – 2a,, find: (a) a unit vector in the…

A: Given, M = -10ax +4ay -8azN =8ax + 7ay - 2az

Q: Three vectors are given, what is 3C · (2A × B)? A = 2î + 33 – 4k B = -3î + 43 + 2k Č = 7î – 8ĵ

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Q: For the following three vectors, what is 3. 7 . (2 Ả × B )? A = 2.00î + 4.00) – 3.00k B = - 3.00î +…

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Q: Two vectors are given by å = (4.0 m)î – (3.0 m)ĵ + (1.0 m)k and b = (-1.0 m)î + (8.0 m)ĵ + (2.0 m)k…

A:

Q: results from (a) d→1⋅(d→2+d→3), (b) d→1⋅(d→2×d→3), and d→1×(d→2+d→3

A: As per rules... First three parts are posted.

Q: For the pair of vectors, find U + V, U − V, and 4U + 2V. U = −9i + 9j, V = 9i + 9j

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Q: Three vectors are given by a = 5.00î + (-4.00)ĵ + (5.00)k, b = 2.00î + (-1.00)ŷ + (3.00)k, and ? =…

A:

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.