9. The components of vectors U and V are given as follow: U. = -8.6 U, = 9.4 What is the magnitude of the vector sum U +V*? V. =10.7 V, = 4.1. A. 9.8 B. 13.7 C. 14.6 D. 15.3
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- Find the scalar components of three-dimensional vectors G and H in the following figure and write the vectors in vector component form in terms of the unit vectors of the axes.Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A, B, and A+B.Two 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);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. 220Four 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 opti
- The angle (in degree) between vector A= 3i+3j-4k and vector B=i-5j+6k is 1. O161.2 2. O141.6 3. O127.6 4. O118.2 5. O111.718. True or False: a. A unit vector always has a magnitude of 1. b. A unit vector is unitless. 19. Given the vector P = 3î - 4ĵ+ 12k determine: = Unit vector along line of action of vector P, ûp= b. Direction cosine angles (degrees) for vector P, B = a. α = Y =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 page
- 1. a) Find the angle between these vectors. A=2i+3j+k ve B=i+2j-k b) Find A x B.With respect to the following vectors: P = 9.73i - 7.36j + 1.02k; Q = - 1.77i - 3.68j + 1.43k, Answer the following questions: 10. What is the x-component of the unit vector joining vectors P and Q?11. What is the y-component of the unit vector joining vectors P and Q?12. What is the z-component of the unit vector joining vectors P and Q?13. Determine the projection of the vector P on the unit vector along PQWith respect to the following vectors: P = 9.73i - 7.36j + 1.02k; Q = - 1.77i - 3.68j + 1.43k, Answer the following questions: 7. Determine the magnitude of the angle between vectors P and Q in degrees.8. What is the magnitude of the projection of vector P on vector Q?9. What is the magnitude of the projection of vector Q on vector P?.10. What is the x-component of the unit vector joining vectors P and Q?11. What is the y-component of the unit vector joining vectors P and Q?12. What is the z-component of the unit vector joining vectors P and Q?13. Determine the projection of the vector P on the unit vector along PQ.