4. Express F1, F2, and F3 as Cartesian Vectors F₁ - 750 N 45° 30° F₂= 625 N F₁ = 850 N
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![4. Express F1, F2, and F3 as Cartesian Vectors
F₁ = 750 N
45°
30°
F₂= 625 N
F₁ = 850 N](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed03a92d-cb24-434f-b854-ef4e4c131545%2Fbed3cdce-9ef9-4bf5-9273-524448262b3e%2Fazd8qab_processed.jpeg&w=3840&q=75)
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- 6. For vectors B = -î – 4ĵ and Å = -31 – 2j, calculate: a. Ā +B and its magnitude and direction angle b. A-B and its magnitude and direction angle.Problem 8: Consider two vectors A and B, expressed in unit vector notation as A= aji+ azj and B = bji+ bzj. A. Part (a) Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above. A+B = B 7 8 HOME a i j k 4 5 6 a1 a2 bị 1 2 3 b2 d + END - h VO BACKSPACE CLEAR m DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Part (b) Enter an expression for the difference vector A - B in terms of quantities shown in the expressions above. Part (c) Enter an expression for the square of the magnitude of the sum vector |A + B| in terms of quantities shown in the expressions above.12.0 B = 5.0 F = 20.0 86400 365) %3D 24 (6)60) = Esc 60° A = 10.0 30 30° 53° D = 20.0 37° Assuming the +x-axis is horizontal to the right for the vectors in the figure, find the following scalar products. a. Ā . B- b. Č - (- 3) - c. Dx F- a. (5 x F) - ( x Ã) -
- Identify which of the following vectors are perpendicular to C. Vector C 60° 45° 60 20° 60° 60° 30° 40° 30° 30°You have two vectors. Vector A = 31 +43 and vector B = 62-53 What is the y-component of 3 A + 2B? 07.6 2 15 O-1 9The three vectors given are ā = 5.0 î+4.0 j-6.0 k b =-2.0 i+2.0 j+3.0 k č = 4.0 î+3.0 j+2.0 k The vector i = ä +b-¯ and its magnitude is respectively 7= -1.01+3.0ĵ-5.0k;|7|=6 7=11.01+5.0ĵ – 7.0k; |7|=14 7 =11.01+5.0J+7.0k; |7|=14 None of the above
- 9. Given two vectors, a = 4.0Î – 3.0ĵ and 5 = 6.0Î + 8.0ĵ, find the magnitudes and directions (with the +x axis) of (a) a, (b) b, (c) a + b, (d) b − a, and (e) a — b.Vector A has a magnitude that equals 7.1, and direction theta =64.9 degrees measured clockwise from -y-axis. What is the x-component? Specify your answer to three decimal places2. Three vectors A, B, and C are shown in the figure. The x-axis and y-axis are marked in increments of 1.00 m. Determine the magnitude of the vector D = Ã – B + Č ssf60 ssi A 60 ssf60 ssf60 ssf60 ssf60 sse ssf60 ssf60fok 60 s60 00 ssf60 ssf60 ssf60 s ssfoesf60 ssf60 ssf60 ssf60 ssf60 ss 160 ssf60 ssf60 ssf60
- Let's consider two vectors, A = (-7, 10), B = (-5, -8), and C = (-1, 6) as shown below. A C B What is the magnitude of A+ B+ C? Answer What is the direction (8) of A+B+C relative to +x-axis? a-839 b. 20 C-85 3 d. 148°Ajy.4Which expression is FALSE concerning the vectors shown in the sketch? C B A O A + B = C- O A +B + C = 0 O C = A + B O C+A = -B