Why are the vertical vectors equal in magnitude but opposite in direction?

Q: Show that vector Å = 4î - ĵ + 2k and B = i+2 j- k are perpendicular. %3D

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Q: The slope of the 7.9 kN force F is specified as shown in the figure. Express F as a vector in terms…

A: Given a = 11 b = 5 F = 7.9 kN We have to calculate this force in vector form

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

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Q: A weight of 300.0 kg is pulled from the water by the setup consisting due to gravity g = 9.8 m/s.…

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Q: Given the following four force vectors in terms of their magnitude and directions, find the…

A: Given,  Four vectors in terms of their magnitude and direction. F1 = 534.7 N @ 135.4°F2 = 987.6 N @…

Q: The cable exerts a force of F= 610 Ib. %3D Express this force as a Cartesian vector.

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Q: What vector quantity is involved in the following problem?

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Q: Consider the two force vectors D = (2.64 N)i + (-5.6 N)j + (2.75 N)k and F = (2.11 N)i + (2.8 N)j +…

A: Given Data: The force vector D is 2.64i-5.6j+2.75k N The force vector F is 2.11i+2.8j+ak N The…

Q: Don't use chatgpt will upvote

A: Part (a) Determine the unit vector that defines the direction of FAB​Determine the coordinates of…

Q: The vector orthogonal to 8 +7 and 8 +8 is

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Q: Two conductors carry currents in the plane of the page, as shown. Find the magnitude and direction…

A: Given data The magnitude of the current in the wire loop is I1 = 2 A The magnitude of the current in…

Q: Find the angle between each of the following pairs of vectors (1) A = 3.00i + 5.00j (2) A = -4.00i +…

A: 1) A→ = 3i^ + 5j^B→ = 10i^ + 6j^

Q: Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the…

A: a)Resolve vector A into respective x and y components as,

Q: Two vectors are parallel if and only if: -The angle between them is < 90° -The angle is obtuse -The…

A: To explain : the condition for two vectors being parallel

Q: Problem 4. Express the resultant of the two forces shown: (a.) in Cartesian form, and (b.) in terms…

A: Given, Two forces

Q: 2. A hiker walking 10 km west then 25 km south

A: Required answer of problem(2)

Q: Calculate the magnitude of the sum of the three vectors: A = 105 N at 35 degree, B = 164 N at 125…

A: A = 105 N at 35 degree B = 164 N at 125 degree And C = 183 N at 208 degree   Magnitude of resultant…

Q: Is a statement abo B (15.0 m) D (10.0 m) 30.0 53.0 25.0 Č 12.0 m) A (8.00 m)

A: Consider the figure of vector as drawn below:- On resolving components along horizontal &amp;…

Q: Calculate the magnitude and direction angle (in degrees) for the vector v: &lt;-7,3&gt;.

A: The objective of the question is to find the magnitude and direction angle of the vector v: .

Q: There are three forces :(1)65.0N(30°),(2)30.0N (3)20.0. What is the magnitude of the resultant of…

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Q: Question 8 Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j + k The magnitude of vector N is: A…

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Q: Consider the vectors a = i + 8j + 4k and b = 7i − 6j − 6k, where i, j, and k are…

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Q: how would the unit circle be helpful to calculate the vectors?

A: Given:- How would the unit circle be helpful to calculate the vectors? Find:- Explain?

Q: F3² || Two forces of F₁ = 112. (i-j) √2 N and F₂ = 388 √2 What is the resultant force in terms of…

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Q: Calculate the magnitude and the direction angle (in radians) for the vector &lt;3,3sqrt3&gt;.

A: The objective of the question is to find the magnitude and direction angle of the vector .

Q: Cable AB exerts a force of 70 N on the end of the 3-m-long boom OA.  (b) Express the force vector F1…

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Q: Consider the two force vectors D = (2.37 N)i + (-5.01 N)j + (2.89 N)k and F = (3.45 N)i + (2.01 N)j…

A: Given

Q: Why can't vectors be added algebrically?

A: Vector has both magnitude and direction.

Q: B. Problem Solving: Read each problem carefully. Solve the problems below. You may write your…

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Q: Find the angle (direction) of the resultant of these given vectors: a: 3i +6j b: 7i-3j

A: Given that,a=3i + 6jb= 7i - 3jcosθ=a.bab

Q: Determine the y-component of unit vector parallel to the sum of vectors (-4.1)i + (5.9)j + (-7.9)k…

A: Given: The vectors are  (-4.1)i + (5.9)j + (-7.9)k and (8.3)i + (-8.4)j + (4.4)k.

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

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Q: B) Let u = 5i-j+k, v = j-5k, w = -15i+3j-3k. Which vectors if any, are 1) perpendicular? 2)…

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Q: Angular momentum is conserved when: O No answer text provided. O the external torque is greater than…

A: Torque: The actual rate of change of the system's total angular momentum L is equal to the net…

Q: The slope of the 5.0 kN force F is specified as shown in the figure. Express F as a vector in terms…

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Q: Find the magnitude of the resultant of these given vectors: a={2,-3,10} b= {6,5,- 3}

A: Given data:  Two vectors  a = {2, -3, 10} b = {6, 5, - 3} Required: The magnitude of the resultant…