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A: As per Guidelines, We are suppose to answer only 3 subpart from multipart question. Please post them…
Q: With respect to the following vectors: P = 9.73i - 7.36j + 1.02k; Q = - 1.77i - 3.68j + 1.43k,…
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A: solution as
Q: Consider two vectors A and B with magnitude A = 5 m and B = 3 m. Let Č = Ã – B. What are the…
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- 18. 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 =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 optiTwo 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°
- A vector A = 1ax+1ay, the origin of this vector is the point M (1, 0.5, 1) in Cartesian coordinate system. a. Determine the component of the vector A in the direction of the vector ax b. Determine the dot product A.ay c. Determine cross product A.az d. Determine the angle formed by the vector A and the vector ay. e. Determine the componen ts of this vector in cylindrical coordinate system f. Determine the components of this vector in spherical coordinate systemD1.3. The three vertices of a triangle are located at A(6, −1, 2), B(–2, 3, −4), and C(-3, 1, 5). Find: (a) RAB; (b) RAC; (c) the angle BAC at vertex A; (d) the (vector) projection of RAB on RAC. Ans. -8ax +4ay − 6az; −9ax +2ay + 3az; 53.6°; -5.94ax + 1.319ay + 1.979azQUESTION 15 4 0. -2 -4 -4 -2 4. Consider the two vectors, A and B, in the figure. The x and y components of both vectors are integers. What is the angle formed by the resultant of A+B with respect to the positive x axis. A. 45 degrees B, 225 degrees В. C. 135 degrees D. 45 degrees E. 180 degrees
- 1,076 :6: F1 If a vector A has components Ax>0, and Ay<0, then the angle that this vector makes with the positive X-axis must be in the range O a. 0° to 90°. 148,433 @ 2 W S b.90° to 180°. O c. 180° to 270°. mand O d.270° to 360°. O e. cannot be determined without additional information X -8° F2 - # 3 E D 31 21 80 F3 C $ 4 R F a F4 % 5 tv e F5 T G 6 V B Ad !! c F6 Y H (2982 & 7 F7 U N 8 J DII F8 1 M WA 9 K F9 O A ) O A F10 L P command | ' F11 1 { C optioA. Vector or Scalar Directions: Sort the physical quantities in the box. Write the scalar quantities under the scalar column and the vector quantities under the vector column. Quantity 1. 10 m Scalar Vector 2. 4500 calories 3. 15m/s, East 4. 36.5°C 5. 5N, downward 6. 15 kg 7. 9 mi., N of E 8. 1 Terabyte 9. 3600s 10. 1.00 kg/m³Academic Departments ETC - CIMS The components of vector A'are given as follows: Ax = 5.6 Ay = -4.7. What is the angle between vector A'and positive direction of x- axis? a. 127° O b. 90° O c. -40° O d. +40° If the magnitude of the vector product of two vectors a and b are are equal to 0, then what do we know about a and b? O a. they are in different planes O b. they are perpendicular they are in different directions d. They are parallel
- The magnitude of vector A can be written as, A UA = A. A. = Ax. A i +. Ay. Aj +. Az. A k. B) A = Ax^I + Ay^j + Ax^k CA=AXI+AYJ + AZ k D) Square root of the sum squares of Ax, Ay and Az1. Vector D has components Dx = -4.9 m and Dy = + 7.2 m. a. Write it in unit vector notation. b. Find its magnitude and direction. (Make sure it is in the correct quadrant.)1. In a two-dimensional plane, vector A is 3 meters due east and vector B is 5 meters, due 36.87 degrees West of South. Find the components of vector C if the sum of all three vectors is zero. a. x-component: b. y-component: m E E