Given two vectors A = 7i+5j-2k, and B = 3i - 10j + 6k, what is the angle between the two vectors? O A. 112.7° O B. 116.3° OC. 118.4° O D. 115° O E. None of these

Q: Vector I is 20.00 km southeast, Z is 14.00 km west, A is 12.50 km 35° W of S, and L is 15.00 km 58°…

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Q: Q3: Express the vector A = 2√3i + 3√√3j-2√√2k in the primed triad i'j'k' in which x'y'-axes are…

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Q: A position vector is given as 7 = 2i + 5j. Now if you rotate the position vector by an angle of + a…

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Q: A force 3 N making angle 17 with x axis. counter clockwise The x component is?

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Q: the x and y components of a vector in a horizontal plane are 4.00 m and 3.00 m, repectively. (a)…

A: The x-component of the vector is 4.00 m and the y-component of the vector is 3.00 m.

Q: wo vectors A = 4ax + 3ay  and B = ax + 2ay + 2az , find

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Q: Demonstrate the sides of the triangle in terms of vector. Please refer to the given.    Given:…

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Q: 1. Two vectors (M = dax-6ay) and (N = 6ax-2ay-Saz), find the vector perpendicular to these vectors?…

A: To find a vector perpendicular to two vectors we calculate cross product: V= M x N V = (4ax-6ay) x…

Q: 1.) Transform each of the following vectors to cylindrical coordinates at the point specified. a) A…

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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: show that C'= C 121 90. The following figure shows a triangle formed by the three vectors A , B ,…

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Q: [20] A particle moves from a point in the ry plane having Cartesian coordinates (-3.00, -5.00) m to…

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Q: 3. What is the angle between these two vectors A= 2x + 3y B=-2x + y

A: The given two equations can be written in vector form as, A=2i+3jB=-2i+j   Now find the magnitude of…

Q: Question (2 Points) Given a space curve C with position vector r = 3 cos 2t i + 3 sin 2t j + (8t-4)k…

A: The derivative of a function of a real variable calculate the sensitivity to vary the function value…

Q: Determine the angles made by the vector V = -15i + 52j with the positive x- and y-axes. Write the…

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Q: 1. a) Find the angle between these vectors. A=2i+3j+k_ve B=i+2j-k b) Find Ax B.

A: Since there are multiple questions posted, we will answer the first question for you. If you want…

Q: 1- Three vectors, a = 6î +2ĵ – 4k , b = -3î +4j + 2k , č =6î +73+3k , Find the following: a) За b)…

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Q: Two arbitrary vectors A and B are combined. What is the maximum possible magnitude of R,where R = A…

A: Given: The arbitrary vectors are A→ and B→. The magnitude of the vectors is R.

Q: Determine the angles made by the vector V = -60i + 44j with the positive x- and y-axes. Write the…

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Q: Problem 2: Consider the two vectors, A = 13.5x + 35.5y B = 6.9x - 15.5y Part (a) What is the…

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Q: Vector A has components ax= -3.0 m/s^2 and ay= +4.0 m/s^2  a. What is the magnitude and direction of…

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Q: 1. a) Find the angle between these vectors. A=2i+3j+k_ve B=i+2jk b) Find A x B.

A: Given data: The vector, A=2i+3j+k. The vector, B=i+2j-k. (a) The magnitude of vector A is,…

Q: <Week 6 Short VectorDot3 Part A Find the angle between each of the following pairs of vectors A =…

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Q: 1. Three vectors are given by: a = 2î – 3ĵ + 5k, b = -2î + 7} – k and %3D °c = lî + 2ĵ – 4k. - Find…

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Q: 85 N Find the direction and magnitude of the resultant vector for the drawing of two forces. 110N…

A: Take the horizontal direction to be x-axis and the vertical direction to be y-axis. Take the vector…

Q: The x component of vector A is -15.8 m and the y component is +52.0 m. (a) What is the magnitude of…

A: Given that                      x component of A→ = - 15.8m              and  y component of A→ =…

Q: = xi + yj + zk , projection of this vector is in xy plane is given by p, angle between R & p is 120'…

A: Given

Q: Determine the missing vector H, given the vectors and resultant. Use polygon method with scale 1cm:…

A: Given: C = 12 kN, 23 N of W; E = 20 kN, E 75 N; R = 16 kN, 10 E of N

Q: Q3 / Two vectors A = 2i +3j +k and B =I -2j +k , find the following : (15 Grad) 1- The value of A x…

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Q: 8. Vectors A and B are shown below. What is -5.00A + 4.00B ? B 5 4 3 -2 2 3 4 $z A

A: The position vector A will be, A→=-3i⏜-3j⏜ The position vector B will be, B→=-2i⏜+4j⏜

Q: 7. What are (a) the x component and (b) the y component of a vector in the xy plane if its direction…

A: Given: magnitude of vector: 7.3 m direction: 250o CCW from +ve x-axis

Q: 47 +5k and M = 31 + 4} +5k The angle made by the two vectors S = 3î is:

A: Dot product of two vectors can be calculated by A·B =|A| |B| cos θ  where Theta is the angle between…

Q: Tor what values of a, the vectors are A = 2aî+2j+ak and aî+2aj +2t perpendicular? %3D

A: Given data:    A→ = 2ai^ +2j^ + ak^B→ = ai^ +2aj^ + 2k^ The vectors are perpendicular.

Q: Q1/what is the angle between two vectors? A = (3i + 6j + 9k) B = (2i + 4j + 8k)

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Q: M. Draw the following vectors on their corresponding directions: A = 5 units, north B = 3 units,…

A: M) to draw : the following vectors on their corresponding directions :

Q: Ex : If vector A = 10 and vector B = 12 and the angle between them is 70. What is the magnitude of…

A: Given : A = 10 B = 12 θ = 70°

Q: 1. Given: A = 100m, 30° N of E; B 80m, 30° W of N and C 40m, 55° S of W %3D Plot the given vectors…

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Q: Calculate the vector bxa when a = 3i+ 4j -3k and b =i+ 3j + 2k Answer: i+ j+ k

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Q: Two vectors A and are perpendicular to each other. What is the magnitude of R, where R = A+ B? O A+B…

A: Magnitude of first vector = A Magnitude of second vector = B Angle between the two vectors (θ) = 90o…

Q: 9) Consider vector A = (7, 5) and vector B = (−3, −4). a) What is the direction and magnitude of…

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Q: ssume you have the following two vectors:A:15i+16j+13k B=4.4i+6.5j-1.6k What is the x-component of…

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Q: 3.) A = 3i + 4j - 5k and B = -2j + k. a) | 2A - B| b) Vectors A and B What is the angle between? %3D

A: Given: A=3i+4j-5k B=0i-2j+k

Q: [20] A particle moves from a point in the ry plane having Cartesian coordinates (-3.00, -5.00) m to…

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Q: Vector A has y-component Ay = +9.6 m. A makes an angle of 32.0° counterclockwise from the +y-axis.…

A: Given: Ay = +9.6 m Angle = 32°

Q: 2. (a) What are the x- and y-components of vector D in Fig. (a)? The magnitude of the vector is D =…

A: D= 3.0 m α= 450 X component of D= Dcosα                              = 3×12= 2.12 m  Y component of…