Assume that the unit vector i points towards the east and the unit vector j points north. Suppose that we are given two non-zero vectors u and v such that u = 4j and u ⋅ v = 0. Which of the following statements must be true? (More than one answer may be correct.) (Zero or more options can be correct) a. v points east or west  b. v points south. c.  v is parallel to u d.  v is perpendicular to u   If ?∙? = 0, what can you say about the directions of nonzero vector ? and nonzero vector ?? a. They are parallel to each other b. They are antiparallel to each other c. They are perpendicular to each other d. Either antiparallel nor orthogonal

Q: a.) What are the x and y components for the vectors shown? b.) Determine the magnitude of the sum…

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Q: c. c. Find the unit vector u^in the vector F direction, if the position vector a "=3i +4j +2k. If…

A: Given:-  A position vector is a→= 3i^+4j^+2k^ The force at this position is F = 2000 N  Find:-  Find…

Q: 1. For the vectors shown in the figure, find a) A. B b) B.C c) A. C Use either method. Be careful…

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Q: The vector V3 of the figure is equal to: A. V2 - V1 B. V1 /cos θ C. V1 - V2 D. V1  + V2 E. V1 cos θ

A: The three vectors are given as V1 , V2 and V3.

Q: The magnitude of the resultant of two vectors is equal to the difference of the magnitudes. Which of…

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Q: What direction does the vector b = -5.00i + 5.003 N point in?

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Q: Let A = 2î + 3ĵ, B = 5î + 2ĵ, and C = 4î - 10ĵ be vectors. Perform the following operations. a. A +…

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Q: 6. You are given two vectors A = -3.00î + 6.00ĵ and B = 7.00î +2.00ĵ. (a) What angle does A makes…

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Q: Vector A has x, y, and z components given by 7, 2, and 5 units.  What is the angle the vector makes…

A: Given Ax = 7 units Ay = 2 units Az = 5 units

Q: Vector A⃗  points in the negative y direction and has a magnitude of 5 units. Vector B⃗  has twice…

A: The expression for the vector representation of (A+B):

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: B. Solve for the Resultant vector ( magnitude and direction). Please draw the vectors. 1. 20 N, east…

A: Given :    1) 20 N east and 50 N west    2) 100 N north, 100 N south and 80 N west    3) 50 N at 30°…

Q: 6. u = 4i – j+3k v = 2i + j+k w = -i+5j+3k r = ai + ßj+ yk Evaluate the scalar products u.v and v.w.…

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Q: Select True or False for the following statements: 1- 4 is scalar quantity which completely…

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Q: stopping

A: Given: Distance covered in the straight line = 100 m

Q: The vector A-B is

A: Correct answer is 4th option    9.53i +0.5j Method involves resolution of vectors in their…

Q: Two vectors, A and B are defined as follows:   A lies 20° above the x-axis, and has a magnitude of…

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Q: 6. Solve for the required using the given vectors B = 4 j + 9k - 5i c. (A X B) x C A = 31 – 8j + 6k…

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Q: 4. When two vectors, A and B, are equal, they must have equal magnitudes, |A| = |B|, or A = B.…

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Q: 1.A vector 10 units magnitude is directed 60° below the +x-axis. What are the horizontal(x…

A: Given:Magnitude of vector, A→=10 unitAngle from x-axis is, θ=60° downwards

Q: True or False: a. A unit vector always has a magnitude of 1. b. A unit vector is unitless.

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Q: You are given a vector A = 190i and an unknown vector B that is perpendicular to A. The…

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Q: 1. Vector D has components D, = -4.9 m and D, = + 7.2 m. a. Write it in unit vector notation. b.…

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Q: Vector v = <1,1,0> and vector w = <-1,-1,sqrt2>. Find a vector that is orthogonal to…

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Q: Three vectors A, B and C add together to yield zero, i.e. A + B + C = 0. The vectors A and C point…

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Q: 2. Express the force as a Cartesian vector in terms of unit vectors ‘i’ ‘j’ and ‘k’. Round to three…

A: The force acting on the system is given as, F=500 N. TO DETERMINE: The given force in cartesian…

Q: The vector S is defined as a-, the the magnitude of is O a. a²+b²+2ab Cose Ob.a²+b²-2ab Cose O C. 2…

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Q: 46. Vector A has a magnitude of 5m and is directed 30° north of west. What are the x- and…

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Q: 6. For vectors = -î – 4ĵ and à = -31 – 2j, calculate: a. Ā+B and its magnitude and direction angle…

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Q: Find the magnitude and direction angle of the given vector. A. u=(3, 8) B. u=(4, 7) C. u=(5, - 1)

A: Given:- given vector. A. u=(3, 8) B. u=(4, 7) C. u=(5, - 1) Find:- The magnitude and direction angle…

Q: er A 2i +3j Which of the following is a unit vector in the direction of A?

A: Given that:A→=2i^ + 3j^ To determine the unit vector along A→

Q: A has a magnitude of 27 and is parallel to B which has a magnitude of 16. Let R = A + B, let S-A-B,…

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Q: Compute for the resultant vector R of the following given vectors А. A = 230 Newtons, 35° N of E В.…

A: The given vectors are A→=230 N, 35°N of EB→=400 N, 15°W of NC→=550 N, 20°S of WD→=230 N, 45°E of…

Q: Determine the x and y components of the following three vectors in the xy plane. (a) A 6-m…

A: The x and y component of a vector is given by : x=xsinθandy=ycosθ

Q: Let A= (3.0 m, 200south of east), B = (2.0 m, north), and C= (5.0 m, 700south of  west).  Draw and…

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Q: consider the following vectors below: 1. which of the following statements is false? a. A x (B+C) =…

A: Given value--- A = 2i + k. B = -5i - 7k. C = 9i -j + k. We have to find--- 1. which of the…

Q: Two vectors, and 7, are equal: 77. Which of the following statements are true? (Select all that…

A: Given Data: Two vectors r→ and c→  and r→=c→ Vector: In mathematics, objects with both magnitude and…

Q: Q(2) Consider the two vectors A= 31 – 2j and B = 2i – 3j. Calculate the angle between the two…

A: Given the two vectors  A= 3i - 2j and B = 2i - 3j. We have to find out the angle between the two…