9. What is always true about the cross product of a vector with itself? (a) It...
Determine whether each statement is True or False. Justify each answer. a. A vector is any element of a vector space. Is this statement true or false? O A. True by the definition of a vector space O B. False; not all vectors are elements of a vector space. O C. False; a vector space is any element of a vector. b. If u is a vector in a vector space V, then (-1) is the same as the negative...
7. What is not true about an unit vector, ui? A) It is dimensionless. B) Its magnitude is one. C) It always points in the direction of positive X-axis. D) It always points in the direction of vector A.
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ture Supplement 4: Intro Vectors Worksheet B a vector (graphical, verbal, or mathematical) that is in: Provide an example of a) ID b) 2D c) 3D (graphi Outline the main vector operations we will use in class: a) Vector Addition b) Vector Subtraction c) Scalar Multiplication d) Vector Dot Product e) Vector Cross Product What is a resultant vector? 4 What is the component of a vector? 3,Define a unit vector. Give an example of a unit vector in...
Q1.11 A circular racetrack has a radius of 500 m. What is the displacement of a bicyclist when she travels around the track from the north side to the south side? When she makes one complete circle around the track? Explain. 01.15 Can you find a vector quantity that has a magnitude of zero but components that are not zero? Explain. Can the magnitude of a vector be less than the magnitude of any of its components? Explain. Q1.19 What...
Question 12 In unit-vector notation, what is the torque about the origin on a jar of jalapeno peppers located at coordinates (3.0 m, -2.0 m, 4.0 m) due to force 1 - - (6.7 N) - (2.2 N) 1 + (2.6 N) k ((a), (b) and (c) for ; } and k components respectively), force 72 - (-6.7N) (2.2 N) j (2.6 N) k ((d), (e) and (f) for J and K components respectively), and the vector sum of 7...
3. Which of the following is true for a typical force vector? a. There can be up to 3 rectangular components. b. The resultant of two force vectors can be obtained using the parallelogram law C. A negative value represents direction, while the magnitude is always positive d. All the above ^ 4. The principal moments of inertia represent the minimum and maximum moments of inertia about any ossible axis of a section. a. True / b. False 7
In unit-vector notation, what is the torque about the origin on a jar of jalapeno peppers located at coordinates (3.0 m, -2.0 m, 4.0 m) due to force Fi = (4.2 N) i - (9.7 N)j + (2.5 N) & ((a), (b) and (c) for i, j and k components respectively), force F 2 = (-4.2 N) i - (9.7N) 1 - (2.5 N) k (d), (e) and (f) for i, j and k components respectively), and the vector sum...
In unit-vector notation, what is the torque about the origin on a jar of jalapeno peppers located at coordinates (3.0 m, -2.0 m, 4.0 m) due to force Fi = (2.8 N) 1 - (9.5 N)j + (2.8 N) R (a), (b) and (c) for i, j and k components respectively), force 2 = (-2.8 N) 1 - (9.5 N) - (2.8 N) R (d), (e) and (f) for î j and k components respectively), and the vector sum of...
Question 12 In unit-vector notation, what is the torque about the origin on a jar of jalapeno peppers located at coordinates (3.0 m, -2.0 m, 4.0 m) due to force F 1 - (6.7N (6.7 N) / - (2:2 N) / + (2.6 N) K ((a), (b) and (c) for, I and K components respectively), force F 2 - (-6.7 N) - (2.2 N) } - (2.6 N) * ((d), (e) and (6) for ?, and k components F respectively),...
1.) Vectors Can the x or y component of a vector ever have a greater magnitude than the vector itself has? Yes. The x component can, but the y component cannot. Yes, but only when the x and y components have equal magnitudes. Yes. Both components can. Yes. The y component can, but the x component cannot. No. Neither component can. 2.) A force vector has a magnitude of 370 newtons (N) and points at an angle of 53.0° below...