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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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Q: y Ả = 13.0 m D = 11.0 m 22.0% 52.0° 44.0° 61.0° B = 14.0 m C = 9.50 m
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 optiA 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 system
- QUESTION 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 degreesTwo 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°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 optio
- D1.3. 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 + 1.979azA. 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