For the following three vectors, what is 3 · Ć · (2Á × B ) ? = 4.00î + 3.00ĝ – 4.00k B = -3.00î + 4.00f + 3.00k Ć = 6.00î – 7.00ĵ

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: Vector A = 2.00i+ 3.00j Newtons. Vector B = 4.00 i +1.00 j meters. What is the angle (in degrees)…

A: Lets represent vector A as A and its magnitude as A ,  similarly vector B as B and its magnitude as…

Q: Given two vectors A⃗ =A→= 4.20 i^+i^+ 7.40 j^j^ and B⃗ =B→= 5.50 i^−i^− 2.20 j^j^ , find the scalar…

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

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Q: For the vectors u=i+3j+2k and v=2i−2j+2k calculate  projvu and scalvu

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Q: Vectors A and B are given by: A = 40.62i+ 85.71j B = 81.48i + 13.19j Find the scalar product AB.

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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: For the vectors A=8.94i +6.93j-17.9k, B=7.67i-6.06j+10.2k, and C=6.25i-3.34j-9.61k, find C(A-B).

A: The difference vector between the two vectors is,

Q: Two vectors are given by a→=2.8î+7.4ĵ and b→=5.9î+3.7ĵ. Find (a) ||a→×b→||, (b)a→⋅b→,…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: Consider the vectors A = 2.0i - 4.0j + k, B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D = -3.0i +…

A: Given,A = 2.0i - 4.0j + 1kB = 3.0i + 4.0j + 10.0k C = -3.0i - 4.0jD = -3.0i + 4.0jE = -2.0i + 3.0j +…

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: Find the resultant of the two vectors of A = 2.45 N, 15.5° N of E and B = 9.51 N, 38.5° E of N,…

A: Given: The magnitude of vector A is 2.45 N. The direction is 15.5 degrees North of East. The…

Q: What is the unit vector for vector M = [3.5, 4.8, -9.3] N a. [0.317, 0.435, -0.843] b. [0.435,…

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Q: What is the unit vector of the sum of 2i + 5j - 6k and 3j + 3k?

A: A→=2i+5j−6kB→=3j+3kR→=A→+B→=(2i+5j−6k)+(3j+3k)=2i+8j−3kNow

Q: Consider the two vectors A = 2.9i - 1.1j and B = -1i - 4.2j a) Calculate A + B 1.90 i -5.30 j b)…

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Q: Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j +.§ The expression 2N – M is: A) -12i- 36j +…

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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: The scalar product A · B of the two vectors A = 2i + 3j and B = i - 2j is O 8 k O -4 k O 2i - 6j

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Q: What is the angle between vectors A - 2i + 3j + k and B- 3i • 2j + K? O 21.79 O 42.88° 85.90° O…

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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: 1.45 • Find the angle between each of these pairs of vectors: (a) Ả = -2.00î + 6.00oĵ and B = 2.00î…

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Q: Vectors A and B are given by: A = 89.23i + 32.22j B = 57.28i + 1.98j Find the scalar product AB.

A: Given: A=89.2i+32.22jB=57.28i+1.98j

Q: What is the angle between the two vectors A = 2i + 3j and B = i- 2j is * A 0° 120° 90° 60°

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Q: Consider three vectors A = 15.3i + 1.7j, B = 9.5i + 9.1j, and C = -2.7i - 11.4j. What is the result…

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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 following three vectors, what is  2⋅C→⋅(3A→×B→)? A=300i+300j-300k B=-300i+3.00j+4.00k…

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Q: Given two vectors: M = -31 + 6j – 5k and N= -2î + 3j + k The expression 2Ń - M is: (A -12i- 36j +…

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Q: What is the angle between the two vectors A = 2i + 3j and B = i-2j is * 0° 120 60 O 90

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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 3C · (2 A✕B )?  A= 2.00i + 3.00j − 7.00k  B= −3.00i +…

A: Given, A→=2i^+3j^-7k^B→=-3i^+7j^+2k^C→=3i^-8j^ So we have, 3C→=33i^-8j^=9i^-24j^ and…

Q: What is vector producer between vector (A) = 2.00 (i) + 3.00 (j) + 1.00 (k) and vector (B) = 1.00…

A: According to question --- Given that -- vector A = 2i +3j + 1k. vector B = 1i -3j - 2k . We have…

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 A= 7i + 4j – 2k, and B= 31 – 10j + 3k, calculate the angle between them, where i,…

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Q: Find the angle between each of these pairs of vectors: a. Ã = -2.00î + 6.00ĵ b. Ã = 3.00î + 5.00ĵ c.…

A: a) We know that,

Q: | Two vectors are given by these expressions: Ä = -3i+7j- 4k and B = 6i – 10j+ 9k. Evaluate the…

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Q: What is the angle between theses two vectors A = 14i – 5j+11k and B= 3i + 7j + 10k ?

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Q: The angle made by the two vectors 3 = 3î + 43 +5k and M = 31 +47 +5k j A) 90 B) No Answer c) 180 45

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Q: Find the scalar and vector products of two vectors. a = (3iˆ – 4jˆ + 5ˆk )and b = (– 2iˆ + jˆ – 3ˆ k…

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Q: Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j + k The magnitude of vector N is: A) 3.74 B)…

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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: Two position vectors are given by Á = (4.00m)i - (2.00m)j - (3.00m)k and B= (4.00m)î - (5.00m)k.…

A: Given  Vector A and B are in meters  A→=4i^-2j^-3k^ B→ = 4i^ +0j^ -5k^ now 3.A→.B→  Is to be…

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: 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…

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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: What unit vector is in the same direction as v = 2i - 4j?

A: The vector is given as v→=2i-4j

Q: What is the angle between vectors A- 2i + 3j + k and B- 3i • 2j • K?

A: Given Data: The vector A is: A=2i+3j+k The vector B is: B=3i+2j+k

Q: The angle between the two vectors :A=2i+3j+4k and B=i-3j+3k is 66.6 degree 77.5 degree 60.6 degree O…

A: A=2i+3j+4kB=i−3j+3k

Scalars and Vectors

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