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

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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: 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: stopping

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

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

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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: 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: 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…