Given two vectors A⃗ =−2.00i^+3.00j^+4.00k^A→=−2.00i^+3.00j^+4.00k^ and B⃗ =3.00i^+1.00j^−3.00k^B→=3.00i^+1.00j^−3.00k^. Obtain a unit vector perpendicular to these two vectors. Express your answer as a unit vector N^N^N_unit in the form NxNxN_x, NyNyN_y, NzNzN_z where the x, y, and z components are separated by commas.

Q: Find the angle between each of the vector pairs: A) A = -2.00i + 6.00j and B = 2.00i - 3.00j B) A…

A: Given vector pairs   A) A = -2.00i + 6.00j and B = 2.00i - 3.00j B) A = 3.00i + 5.00j and B = 10.00i…

Q: Three vectors á, b, and c, each have a magnitude of 53.0 m and lie in an xy plane. Their directions…

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Q: Given two vectors A= 4.00i + 7.00j and B= 5.00i - 2.00j. Find the magnitude of each vector. (2 pts.)…

A: (1)  The first vector is given by- A=4.00 i+7.00j Here a1=4.00 and a2=7.00 Hence magnitude of A…

Q: Given the vectors A = (-2î + j) m and B = (4î – j) m- The direction of the resultant vector R = Å +…

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Q: Answers: a) -3 b) 39 i +15 j +18k c) 4. What are the x and y components of the vector a, which lies…

A: The magnitude of the vector a, a=7.3 m The angle of vector with the positive x axis, θ=250° The…

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: Two vectors, T and s lie in the xy plane. Their magnitudes are 4.85 and 4.39 units, respectively,…

A: Given data: The magnitdue of vector r = 4.85. The magnitdue of vector s = 4.39. Direction of r is…

Q: Vector  A has a magnitude 5.00 and points in a direction 60.0° clockwise from the negative y axis.…

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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: Vector V with magnitude | V | forms an angle with the positive x-axis. Give the magnitude of the…

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Q: Find the angle between each of the following pairs of vectors. A = -2.00i + 6.00j and B = 2.00i –…

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Q: YA 7. X B = 5.0 53° A = 10.0 30° î+ A d. (D × F) · (B × Â) - [ = D 37° + C = 12.0 60° D = 20.0 F 10…

A: Converting each vectors into components : A→= 10.0 at 30° from +x-axisA→=10×cos 30° +10×sin…

Q: Using component method, find the resultant vector of the following: a. 3m (North) and 10m (West) b.…

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Q: (3î - î). B В and (h) B-B. 60" A 10 0 30° 30° 53 D 20.0 37 62. Assuming the +x-axis is horizontal to…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: ind the magnitude of vector C if C = A + B and A= -2.00i + 3.00j + 4.00k & B= 3.00i + 1.00j - 3.00k.…

A: A = -2.00 i + 3.00 j + 4.00 k & B = 3.00 i + 1.00 j - 3.00 k The vector C is given by  C→ = A→ +…

Q: 60° A = 10.0 30° 30° 53 D= 20.0 37 37. Assuming the +x-axis is horizontal and points to the right,…

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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: 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: Vector A has a magnitude of 8.0 m, South and vector D has a magnitude of 10.0 m, 53° W of N. Find…

A: Given: The magnitude of vector A  is 8 m in the south direction. The magnitude of vector D is 10 m…

Q: Given two vectors A = 6i + 9j – 7k and B = –123 – 5k, the magnitude of the vector sum is:

A: Given data:  Two vectors  A = 6i + 9j - 7k B = -12j - 5k Required: The magnitude of the vector sum

Q: (In questions and answers, the letters i, j and k represent the unit vectors along the directions x,…

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Q: Obtain expressions in component form for the position vectors having the following polar…

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Q: •9 Two vectors are given by d = (4.0 m)i – (3.0 m)j + (1.0 m)& 6 = (-1,0 m)i + (1.0 m)j + (4.0 m)k.…

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Q: You are given two vectors A = -3.00i +7.00j and B= 8.00i + 2.00j. Let counterclockwise angles be…

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Q: At one point in space, the direction of the electric field vector is given in the Cartesian system…

A: Given  that,unit vector along the direction of electric field E^ =15i^ -25j^Magnitude of  electric…

Q: Given that vectors T = + 2.00x + 6.00y – 4.00z and     D = 2.00x – 3.00y – 4.00z…

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Q: Two vectors are given by A = 4.00 i + 7.00 j and B = 5.00 i – 3.00 j. What is the resultant…

A: A→ = 4i^ + 7j^B→ = 5i^ - 3j^

Q: 7. For the vector product of the vectors, which one of the following is correct ixj = 0 ; ixk = 1 ;…

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Q: Consider vectors A = 9.00 [m], 60.0 • North of East, and B = 300. [cm], 30.0 • West of North. What…

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Q: Given A = 5.00i + 4.00j, B = 3.00j - 7.00k. Find the vector C = 2A - B %3D O + 4i – 10j – 7k O- 10j…

A: Given: A=5.00i+4.00j  B=3.00j-7.00k  To Find: C=2A-B

Q: With the given three vector A, B, C. Determine the magnitude product of CxA A= 2i - 3j + 4k B= -3i -…

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Q: Find the unit vector ˆeD in the direction of vector D~ = 1/2 ˆı +ˆj + 2/3 ˆk .   (a) 1/√ 61 3ˆı +…

A: The vector D can be given as, D→=12i^+j^+23k^

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: Consider the two vectors, A= 17x+11.5y, B= 4.5x-3.5y a. What is the magnitude of the vector 3A+B?…

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Q: Two vectors are given by  = (5.5 m)i − (4.0 m)j + (1.0 m)k and  = (−1.0 m)i + (1.0 m)j + (5.5 m)k.…

A: Here 2 vectors are given and Arithmetical operations are asked. a = (5.5 m)i − (4.0 m)j + (1.0 m)k b…

Q: Consider two vectors A and B. A = 11 + 133 and B = 14 - 16 Find the unit vector that points in the…

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Q: C = 12.0 B = 5.0 F= 20.0 60 A A = 10.0 30 B. 30° 53° D= 20.0 37° Assuming the +z-axis is horizontal…

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

Q: Find the resultant of the two vectors: A = 20.0 units, negative y direction B = 30.0 units, 55°…

A: Write the given vectors as follows. A→=-20.0j^B→=-30.0cos55°i^+30.0sin55°j^=-17.207i^+24.57j^

Q: Two vectors are given (a = 6 i – 20 j, b = - 7 i + 10 j). Find a + b, a – b, a vector c such that a…

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Q: Find the angle between the following pair of vectors;  A=-4.00i + 2.00j and B = 7.00i + 14.00j

A: The angle between the two vectors is cosθ=A→·B→A→B→ Here A→ and B→ vectors.

Q: Is the dot product of two vectors u and v is another vector represented by: u* v=₁V₁, U2 V2, Uz Vz,…

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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: (a.00m)-(. Here are two vectors: - 4.00 m and b = (6.00 m + (8.00 m What are å + b ; (g) the…

A: As per our guidelines, we are supposed to answer only first three subparts in case of multiple…

Q: A vector is given by: i = (-2.11) + ( -4.28) ĵ+ ( 2.8 ) k. Determine the component of the unit…

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Q: y Ả = 13.0 m D = 11.0 m 22.0% 52.0° 44.0° 61.0° B = 14.0 m C = 9.50 m

A: solution as

Q: You are given the following vectors A = 14.0 x- 3.0 y, B=4.0 x + 10.0 y, C = 8.0 x -4.0 y The…

A: Given vectors, A=14.0x-3.0yB=4.0x+10.0yC=8.0x-4.0y

Q: 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 .…

A: Dot product is defined as: A⇀.B ⇀ = ABcos(θAB) The dot product of orthogonal vectors is 0, since the…

Q: Vector A = 2.00i+ 3.00j Newtons. Vector B = 4.00 i +1.00 j meters. What is the dot product of…

A: The given vector A and vector B are:

Scalars and Vectors

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