An antelope is being pulled by two forces whose vector-component expressions are: F1 = 2.3Ni + -6.8Nj + -7.5Nk F2 = -9Ni + 1Nj + -5.1Nk What is the angle (in degrees) between these tywo vectors?
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- In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 196 N each to the light, four students pull with force 98 N each to the left, five students pull with force 62 N each to the left, three students pull with force 150 N each to the right, and one student pulls with force 250 N to the left. Assuming the positive direction to the tight, express the net pull on the knot in terms of the unit vector. How big is the net pull on the knot? In what direction?An antelope is being pulled by two forces whose vector-component expressions are: F1 = 0.7Ni + 0.5Nj + 7.2Nk F2 = 9.9Ni + -9.2Nj + -8.1Nk What is the angle between these two vectors?Vector F₁ = 625 N makes an angle of 2700 when rotated counterclockwise from the +x axis. Vector F2 = 875 N makes a 1200 angle from Vector F₁ when rotated counterclockwise. What is the magnitude a vector needed to balance the two forces? O 680.6 N O86.2 N -980.6 N O-670.6 N O980.6 N 78.2 N O 580.6 N 780.6 N
- An antelope is being pulled by two forces whose vector-component expressions are: F1 = -8.9Ni + 4.1Nj + -9.4Nk F2 = -0.2Ni + -2.9Nj + -2.5Nk What is the angle (in degrees) between these two vectors?Two vectors, A and B, have magnitudes of 5.40 units and 9.81 units, respectively. The angle between A and B is 48.5°. What is A B? A. B =Two individuals are attempting to relocate a sofa by applying forces in the indicated directions. If F₁ - 650 N and F2 - 320 N, determine the vector expression for the resultant R of the two forces. Then determine the magnitude R of the resultant and the angle which it makes with the positive x-axis (measured counterclockwise from the x-axis). 50⁰ Answers: R= IN R= i i N B
- Two forces of F₁ = 112 √2 N and F₂ = 388 √2 What is the resultant force in terms of the force vectors F₁ and F2? What is the magnitude of an equal and opposite force, F3, which balances the first two forces? sin() cos() tan() T HOME cotan() acos EM4 asin() atan() acotan() sinh() 7 8 9 5 6 1 2 3 * 0 END cosh() tanh() cotanh() ⒸDegrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Given your observations from parts a and b, if working with vectors in 3 dimensions (i, j, k); what will the normalizing term n be for (i- j+ k) (i − j+ k) the two vectors F₁ = C₁ N and F₂ = 0₂ N. √T | Fren | Given the normalizing term n found in the previous part in 3 dimensions (i, j, k); what will the magnitude of the resultant vector be in terms of the constants c₁ and ₂. (i − j+ k) (i- j+k) The vectors in question are F₁: N and F₂ = 0₂ √√T √π F3 = = C1 N act on an object.Given the following three force vectors in terms of their magnitude and directions, find the magnitude of the resultant force: F1 = 1259.98 N @ 15.3 degrees F2 = 987.55 N @ 260.5 degrees F3 = 1555.47 N @ 162.3 degreesVector F1 = 625 N makes an angle of 270 degrees when rotated counterclockwise from the +x axis. Vector F2 = 875 N makes a 120 degree angle from Vector F1 when rotated counterclockwise. What is the direction of the vector needed to balance the two forces?
- What is the direction of the vector r= -6.7i - 5.0j? where i and j represent the x-and y- unit vectors?In the cross (or vector) product F =q v x B we know that q = 1 F = -69î + -27j + -48Â - 8.0î + 8.0ĵ + 7.0k B = B,ì + B,ĵ + B,k %D What then is B in unit-vector notation if Bx = By? ĵ+ +1question 2. Suppose there are two force vectors ⃗F1 = (F1,x,F1,y) and ⃗F2 = (F2,x,F2,y). Add these to obtain ⃗F = ⃗F1 + ⃗F2. Under what circumstance is the magnitude F equal to the sum of the magnitudes F1 + F2? You must justify your answer, to receive credit (as always). my three angles are 0°,230°,144° my three forces are 9.8, 5.782,7.546