Consider the following two vectors. Vector A points directly South and has a magnitude of 5.00 while Vector B points 30.0∘ South of West and has a magnitude of 6.00 (illustrate in the diagram below) (East = 0∘, North = 90∘, West = 180∘, South = 270∘)   1. The magnitude of the Vector A+B is: 2. The direction (in degrees / polar direction) of Vector A+B is:

Q: Force Vector A = 45i kN Force Vector B = xi + yj kN Force vector B has a magnitude of 60 kN and both…

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Q: Suppose the vector B is doubled in magnitude without changing its direction. What happens to its x…

A: Given; A vector B with magnitude 7 m/s  This vector makes an angle 20° with + x axis in clockwise…

Q: A = 2î + 3j + & B = -41 + 23 – k C = 21 – 3j + 4k a) (AX B) · č b) (BX A) c) (AXB) · (CXB)

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Q: The displacement vectors A and B shown in the figure below both have magnitudes of 1.97 m. The…

A: Given:-  The magnitude of the vectors A and B is 1.97 m  The direction of vector A is θ =42° Find:-…

Q: Using PARALLELOGRAM method, DRAW and DETERMINE the magnitude and direction of the resultant vector…

A: Given Data :  A= 50 km, 30° N of WB= 40 km, 90° C= 15 km, 45° S of WD= 10 km, 30° E of SE= 30 km,…

Q: Vector in the sum A + B = C  A  It has a size of 22 m and has an angle of 43 ° counterclockwise from…

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Q: Using the below vectors, answer the following questions: Ā 22° ||A| = 1 B 10 |B| = 10 1) If Vector R…

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Q: A. Give the vectors M = -10åx + 4ãy-8å, and vectors N = 8å, + 7ãy-2ãz, find the following: %3D 1. a…

A: Solution: A.3 Given vectors are: M=-10ax^+4a^y-8a^zN=8a^x+7a^y-2a^z,|M|=102+42+-82     =180…

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

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Q: Need Help ASAP Consider the following two vectors. Vector A points directly South and has a…

A: Given value--- Vector A = 5 , South.  Vector B  = 6 , 30 degree South of west.  We have to find---…

Q: Write the correct vector notation for the vector with a magnitude of 900 N? You do not need to…

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Q: Say we have à = 21+ 3) and à - B = 0. a) If B=51+ B). What is the value of By? b) If |B| = 1. How…

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Q: 3) The two vectors a dn b are perpendicular. If a has magnitude 8 and b has magnitude 3 what…

A: Any physical quantity which has both magnitude and direction is known as a vector quantity. It is…

Q: A boat travels 100 m/s on a straight path at an angle of 20° North of East. It then changes its path…

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Q: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…

A: Given The vector is given as A→=7.2i^-4.6j^   We have to find the magnitude of the vector and the…

Q: Let be a vector , whose rectangular components are V = -4 and vy = 3: a) Draw the vector i on the…

A: A vector quantity has magnitude and direction. In two dimensions, a vector is represented by its…

Q: 2. Find the dot product of two vectors A=4i+3j and B =5/-2j.

A: Given,A=4i+3jB=5i-2j

Q: Vectors à and B are shown in the figure. Vector Č is given by C = à – B. The magnitude of vector A…

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Q: If the Cartesian coordinates of a point are given by (-1, y) and its polar coordinates (r, 120°).…

A: given that    Cartesian coordinate =( -1 , y )  put  X = -1    Y = y polar coordinate =( r, 120°)…

Q: 1. Two vectors A = 2 i +2j +3k and B = 2 i-3j +Ak have the same magnitude. Find out the value of the…

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Q: Problem 4 Consider the 2D vectors A and B. A has a magnitude of 3.5 and a polar angle of 55 degrees,…

A: The x component of A+B, Rx=A cosθ1+B cosθ2=3.5×cos55°+4.5×cos245°=2.00-1.90=0.10   The y component…

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: If the dot product of two vector A and B is negative, what statements reguarding A and B are true…

A: In this question we are given that the dot product of two vectors A and B is negative and we have to…

Q: If A = 34 m, B = 34 m, and the magnitude of A + B = 48, which of the following is true? O A and B…

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Q: If the coordinates of S1 and S2 are (2,2) and (5,-2) respectively, a) Find vectors 1 and 2. u = 1₂ -…

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

Q: Answer the following questions based on the Vector 1: 390 miles @ 22.6° N of East Vector 2: 336…

A: Vector 1 = 390 miles 22.6 N of eastVector 2 = 336 miles 59.6 W of NorthVector 3 = 80 miles due south

Q: Calculate the magnitude & the direction of the resultant vector using both component method and…

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Q: Two displacement vectors when added produce a resultant vector of magnitude 50.0 km pointing 60.00…

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Q: Two vectors A 6 units and B 8 units. If A B= 10, then the angle between the two vectors is O a 78 O…

A: Given: A=6units, B=8units, A·B=10 The expression of the dot product of two vectors is given by :…

Q: y (north) (5.0 m) x (еast) 30° A (15.0 m) For the two vectors shown on x-y axes in the figure, what…

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Q: Determine the component Rx, Ry, and Rz of the vector with a magnitude of 600 units. Also, draw the…

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Q: What is the principal angle a vector located at 52° South of East? O 308° O 142° O 238° о 38°

A: Given, A vector , 52° South of East . Principal angle is the angle in anticlock wise direction from…

Q: omponents of vectors A, B, and C. B. The resulting vector D (D = A + B + C)

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Q: a.) Vector A has a magnitude of 6.0 m and points 30° north of east. Vector B⃗ has a magnitude of 4.0…

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Q: an elk runs a pattern given by the four displačement 3.20 m, and B = 5.10 m and C = 4.80 m.…

A: We know that here in the figure four-vector areas  Vector A = 3.20 m ,Vector B = 5.10 m, and vector…

Q: Please answer the following question(s): 1. Two vectors a and b are added together, the sum of the…

A: Given value--- magnitude of a = 6. magnitude of b  = 7.5 . magnitude of c = 10 . We have to…

Q: › Vectors À and B lie in the xy-plane. Vector À has a magnitude of 11.6 and is at an angle of 155.5°…

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Q: In the sum A+B=Č , vector has a magnitude of 18 m and is angled 39° counterclockwise from the +x…

A: This is a problem related to vectors. The below-given diagram shows the arrangement of the given…

Q: The figure shows a 2D coordinate system S (red) and another coordinate system S' (blue). S' is…

A: (a)i^' is unit vector along x' and j^' is unit vector along y'so resolving them along old x,y axis…

Q: The angle made by the two vectors A i + 4j + 5k and B = 5i + 7j + 9k is: A 14.80 degrees 34.80…

A: Given: A→=i^+4j^+5k^B→=5i^+7j^+9k^

Q: 4) What is the angle between the two vectors à and B?

A: Given: vector A can be written as A⇀ = 20j^ Vector B⇀=-10i^ + 15j^