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

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: 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: 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: 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: 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: Calculate the magnitude and direction angle (in degrees) for the vector v: <-7,3>.

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

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

A:

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…

A:

Q: Calculate the magnitude and the direction angle (in radians) for the vector <3,3sqrt3>.

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…

A:

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: 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: 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…