Given the displacement vectors A = (7.00 î – 2.00 ĵ + 7.00 k) m and B = (8.00 î + 1.00 ĵ – 8.00 k) m, find the magnitudes of the following vectors and express each in terms of its rectangular components. (a) C = A + B m C = k) m (b) D = 2Ã - B D = m D = ( î + k) m

Q: B 17.4 8. Two vectors are presented by the diagram. What is the direction and magnitude of the cross…

A:

Q: Two vectors are given by a = 2.07 + 5.0j and b = 3.0i + 9.0j. Find (a) a x b", (b) a. b", (c) (a* +…

A: Given:a = 2.0 i^ + 5.0 j^ ................eq(1)b = 3.0 i^ + 9.0 j^ ................eq(2)

Q: Vector s has components sx = 15.0 and sy = 9.0. What is the approximate magnitude of %D vector s ?…

A: Write the given values with suitable variables. sx=15sy=9 Here, sx denotes the x-component of the…

Q: Vector A has a magnitude of 2.00 m and vector B has a magnitude of 5.00 m. If the direction of each…

A:

Q: Consider the following vectors: F = i-2j-3 k G = 2 i-4j-6 k H = i+j+k Find the value of the vector D…

A:

Q: In the diagram, the dashed lines are parallel to the x axis. The magnitudes of the vectors are A =…

A:

Q: A position vector that belongs to the xy plane is described by the components (x, y) - (-3.00 m,…

A: Cartesian coordinates(X,Y) in polar coordinates are given by X=rcos(theta) Y=r sin(theta) Where r is…

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

A:

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

A: (given) Polar coordinate of a point is (13.0, 1400) x component of the point in cartesian coordinate…

Q: The vector sum of two displacements 18 m and 13 m is 5 m. The angle between the two displacements is…

A:

Q: Two vectors are given by d = 7.0f + 2.6 and b = 5.41 +9.7). Find (a) d x b (b) d b d + b) %3D and…

A: Given:a→ = 7.0 i^ +2.6 j^ b→ = 5.4 i^ + 9.7 j^

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.…

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,…

A:

Q: Given 2 vectors A = 5i-3j and B = -2i+4j find the angle above the x-axis of A+B and lA+Bl note j and…

A: First we find the addition of given vector and after that we find its magnitude

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

A:

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: Q6. Three displacement vectors (A, B, and Ĉ) are shown in Figure, where the magnitude of the vectors…

A:

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

A:

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.…

A:

Q: The force F has a magnitude of 470 N. Express F as a vector in terms of the unit vectors i and j.…

A:

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

A:

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

A:

Q: Given: u = K-4, -1>, v= , W = , and z = . Based on the components of the given vectors, match the…

A: Given vectors                                     u = -4,-1v = 0,-3w = 1,-1z =4,2 Now we have to…

Q: What is the component of the force vector G = (3.0i + 4.0j  + 10.0k  )N along the force vector H =…

A: Given: G→=3.0i^+4.0j^+10.0k^ N H→=1.0i^+4.0j^ N

Q: The figure shows two vectors, A→ and B→, whose magnitudes are AA = 6.7 and BB = 5.1. Determine C→ if…

A:

Q: The components of vectors given as follows: Bx = -9.2 Cx = -4.5 By = -6.1Cy = + 4.3 The angle (less…

A:

Q: Two vectors are given by a = 9.7î + 4.6) and B = 9.21 + 9.5). Find (a) a x (b) a - B.()( 7 + ).. %3D…

A: As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: Determine the cross product of the following vectors A x B, write the component in the j-direction.…

A:

Q: Find the angle between the vectors A = and B = . (a) 50.0 (b) 178 (c) 120 (d) 98.0

A: Vector A  = -4i -2j Vector B = 3i + 1j

Q: 1. Given the following vectors: 5 = -1.00 i - 3.00 j + 4.00 k A = 3.00 i + 4.00 } %3D a. (5 points)…

A:

Q: Given the displacement vectors A = (3î – 4j + 4k) m and B = (2î + 3ĵ – 7Ê) m, find the following…

A: Given data *The displacement vector is *Another displacement vector is

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=…

A:

Q: A sailboat race course consists of four legs, defined by the displacement vectors , B,č, and 5, as…

A:

Q: Given two vector A -5.00i – 9.00j+ 4.00k and B = -4.00i + 6.00j – 2.00k what is the vector product A…

A:

Q: Can someone please help me understand this question and how to get the answer? Two displacement…

A: In this question we have to find the magnitude of the sum of the two vectors. Please give positive…

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

A:

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

A:

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

A: (a) 13 m at 140° The vector R is given by  R→ = 13cos 140° i^+ sin 140° j^R→ =- 9.96 i^ + 8.36 j^ m…

Q: Given the vectors Ā = (-2î + ĵ) m and B = (4î – j) m: The magnitude of the resultant vector R = 2Ã +…

A: Given data: Vector A is, A→=(-2i^+j^) m. Vector B is, B→=(4i^-j^) m

Q: Two vectors are given by a 2.31 + 2.7) and B = 9.07 + 9.8ĵ. Find (a) 7 x B (b) a . b.c)(7 + b ). B.…

A:

Q: Vectors C and D have magnitudes of 3 units and 4 units, respectively. What is the angle between the…

A: ""Since you have asked multiple question, we will solve the first question for you. If you want any…

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

A: The resultant of the displacement will lie between the maximum and minimum value of the resultant of…

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

A: For any vector in a cartesian plane given as A→=Axi^+Ayj^, such that both the components of vector…

Q: Consider the following 2 vectors: A –3.29 ; +5.49; B =1.64 ;+4.09; What is A. B? Please express your…

A: Given data:  A→ = 3.29i^ + 5.49j^B→ = 1.64i^ + 4.09j^ Required: The dot product of vector A and…

Q: E h A(2,2,2) y P R(2.25.2,5.0)

A:

Scalars and Vectors

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