Vector A has magnitude of 8 m and vector B has magnitude of 4.1 m. If the angle between the two vectors is 60°, calculate the magnitude of the vector C = 2A – B O a. 15.49
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- Given two vectors A= 7i + 4j - 2k, and B= 3i – 10j + 3k, calculate the angle between them, where i, j and k are unit vectors: A. 206.8 B. 112.7" C 116.3 D. None of these E. 220Two vectors A= 1î - 2j and B = 2î + 3j. Find the approximate angle between the vectors (-3A) and (2B)? O A. 60° О В. 30° ОС. 75° O D. None O E. 120°Consider three vectors: What is the result of 2A. (B-3C)? What is the result of A A+B B + C. C? . A.A+B B+C . C = || A = (9.71) î+ (1.12) Ĵ B = (7.28) + (5.54); C = (-2.95) + (-14.7);
- The maghitude of vector A is 8.6. Vector lies in the fourth quadrant and forms an angle of 37° with the x-axis. What are the components of vector A? 37° A = 8.6 O a. Ax = 8.6, Ay = -8.6 O b. Ax = -6.9, Ay = 5.2 O C. Ax = 6.9, Ay = -5.2 O d. Ax = -6.9, Ay = -5.2B. Solve for the Resultant vector ( magnitude and direction). Please draw the vectors. 1. 20 N, east and 50 N, west 2. 100 N, north; 100 N, south; and 80 N, west 3. 50 N, at 30° south of west; 50 N, at 30° east of south 4. 200 N at 53°; 300 N at 150°; 200 N at 270°; and 350 N at 310° Force vectors x-component y-component 200 N at 53° 300 N at 150° 200 N at 270° 350 N at 310° EFx= Fy=1. a) Find the angle between these vectors. A=2i+3j+k ve B=i+2j-k b) Find A x B.
- In the diagram shown, vector Y has a magnitude +y Y = 0.70 m of 0.70 [m] and is directed 25° E of N. Vector W has a magnitude of 82 [N] and is directed 50° S of E. What is the vector product Y x W? A. 52.02 [N · m], into the page 25 +x 50° B. 52.02 [N · m]), out of the page C. 18.58 [N · m], into the page W = 82 N D. 18.58 [N · m], out of the pageCalculate the angle of vector B that makes each coordinate axis if it has x, y, and z components of 4, 6, and 3 units, respectively. O A. 59.2°, 39.80°, and 67.4° O B. 49.2°, 39.8°, and 67.4° O C. 59.2°, 29.8º, and 67.4° O D. 59.2°, 39.8º, and 57.4°2. Two vectors A and B have magnitude A=3.00 and B=3.00. Their vector product is AxB= -5.00k + 2.00i. What is the angle between A and B?
- Four vectors A, B, C and D are shown in the figure. The sum of these four vectors is a vector having magnitude and direction 11.076 148,432 :8³ @ 2 B (4.0 cm) W S A F2 30° O a.4.0 cm, along +X-axis. ² O b.4.0 cm, along -X-axis. c.4.0 cm, along +y-axis. O d.4.0 cm, along -y-axis. O e.4.0 cm, 45° above +x-axis. # 3 .y E D C (6.0 cm) A (6.0 cm) JAN 21 80 F3 $ 4 30% R F a F4 % 5 D (4.0 cm) stv♫♬ 8 X 0 FS T G A 6 X CV B A c F6 Y & 7 H K @ F7 U * 8 J DII F8 N M ( F9 K O ) 4 O F10 L P S F11 V 0 @ + C FL = command optiThe figure shows four vectors A, B, C and D having magnitudes 12.0 m, 10.0 m, 8.0 m, and 4.0 m, respectively. The sum of these four vectors is y B 30° + 30° X D 1076 2 48432 W S mand X M O a. 16.4 m at an angle 77.8° with respect to +X-axis. Ob. 16.4 m at an angle 12.3° with respect to +X-axis. c. 19.5 m at an angle 77.8° with respect to +X-axis O d. 19.5 m at an angle 12.30 with respect to +X-axis. O e. 8.20 m at an angle 77.8° with respect to +x-axis. F2 s # 3 E D 31, C M 80 $ 4 R F a FA % 5 V #tv ♫ T o FS G 6 B c Fo Y H & 7 N F7 p U 8 J DII FB 1 M ( 9 K F9 O A ) O 4 F10 L e e P il V F11 { 11 + [ C F12 command option OFind the angle between vectors D = (2.0 i - 4.0 j + k) m , and B= ( -2.0 i +3.0j + 2.0 k ) m A. 100o B. 154o C. 180o D. 45o