show that the vectors A= 1/2 q1+ 1/2 q2+1/2 q3+ 1/2 q4 and B= 1/2 q1 - 1/2 q2 + 1/2 q3 - 1/2 q4 . where q1, q2, q3, and q4 are unit vectors, are orthogonal.

Q: If three vectors A= 9.8 , B= 13 and C= 3 are making angles θA= 56o ,θB = 138o and θC = 208o with…

A: Here given three vectors A= 9.8,B=13,C=3 . These there vectors make angle with x axis is…

Q: Consider the following vectors: A=3i+ 6j B=2i – 3j+ 4k C=5i – 2j+ k Find (a)R=A+B – C (b)А . В (с) В…

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Q: The force F has a magnitude of 460 N. Express F as a vector in terms of the unit vectors i and j.…

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Q: The vector orthogonal to 6? +7ĵ and 2î+6ĵ is .k Answer:

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Q: You have two vectors. One has a magnitude of 3.9 cm and an angle of 57.4 degrees while the other has…

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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: For the given vectors V₁ and V₂, determine V₁ + V₂, V₁ + V2, V₁-V2, V₁ X V2, V₁ V₂. Consider the…

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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: You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that…

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Q: The three vectors in the figure have magnitudes a = 3.10 m, b = 2.80 m, and c = 10.3 m and angle 0 =…

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Q: Consider the two vectors shown below. The two vectors have magnitudes of IAI=20|A→|=20 and…

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Q: ctor B in the xy plane has a magnitude of 25.  If it has an x component of 12, what angle does it…

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Q: Given two vectors A= 7i + 4j − 2k, and B= 3i − 10j + 3k, calculate the angle between them, where i,…

A: Given Data:- Two vectors are A→=7i^+4j^-2k^ B→=3i^-10j^+3k^ Required:- We need to calculate the…

Q: Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the…

A: a)Resolve vector A into respective x and y components as,

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: 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: Three vectors a, b, and , each have a magnitude of 42.0 m and lie in an xy plane. Their directions…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: is the direction of the vector at point c in the i, j, i-j or negative j.

A: Direction of vector at a given point is always along the normal.

Q: Given the following vectors, Ä = -2.00î + 4.003 – 6.00k B = 5.003 + 2.00k C = -3.00î (a) Find A, B,…

A: As per guidelines we are suppose to do only first three subpart from multipart question kindly post…

Q: Two vectors are given by A = 3 î + 6j and B = -1 î + j. (a) Find A x (b) Find the angle between A…

A: Given that  A = 3i^ +6j^ B = -1i^ +j^A→ x B→ = i^j^k^360-110      = (6 x 0) -(0 x 1) i^  -(3 x 0)…

Q: Two vectors, r and s lie in the xy plane. Their magnitudes are 3.41 and 5.16 units, respectively,…

A: Given data: The magnitude of vector r is 3.41 units. The magnitude of vector s is 5.16 units. The…

Q: Vector A has a magnitude of 13.0 m at an angle of 22.6. What are the components of the vector?…

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Q: Two vectors are given by a = (1,2,3) and b = (3,2,1) in cartesian coordi- nates. Find à, a + b, a b…

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Q: Two vectors P= 2i + bj + 2 and a-i+j+k will be parallel if (d) b=- 4 (a) b= 0 (b) b = 1 (c) b = 2

A: Given value--- P = 2 i + b j +2 k . Q =  i +  j + k . We have to find--- value of Q .

Q: Given vectors A=21+3j+k and B= k and find B*A

A: The 2 vectors are given asA = 2i⏞ + 3j⏞ + k⏞B = k⏞ They have asked for the cross product of the 2…

Q: 12. Two vectors are given as follows: A = 3i + 5j- 4k B = 3i + 4j + 2k The vector sum of two vectors…

A: Data  we have A→=3i^+5j^-4k^B→=3i^+4j^+2k^

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: The vectors are

Q: Select each of the following vectors that is a unit vector: 0 (1/√√3, 1/√√3, 1/√3) (1, 2, 3) □ (1,…

A: Given data: The given vectors are:  (a) 13,13,13(b) 1,2,3(c) (1,1,1)(d) (1,0,0) ms(e) 12,12,0(f)…

Q: For the vectors a = and b = find orthab.

A: Vectors are given as and Note:Find:Orthogonal projection of  on , that is,

Q: Given vectors P=(3 m, 4 m) and Q=(4 m, 3 m), find the angle of P + Q.

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Q: Vector A = 5.1 i + 4.9 j. Vector B = 6.9 i + 3.7 j. The dot product of the two is C = A ∙ B (i.e. A…

A: Given that:  A = 5.1 i + 4.9 j B = 6.9 i + 3.7 j To determine: C = A ∙ B

Q: The vectors ā, b and č'are not planar. The a', V and d are the associated reciprocal vectors given…

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Q: A given line is described by the equation: y = x-l. Vector A starts at point P1 = (0,3) and ends at…

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Q: A vector has a magnitude of 30 and a direction of 40°. Another vector has a magnitude of 70 and a…

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Scalars and Vectors

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