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- 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? a. they are perpendicular Ob. they are in different directions с. they are in different planes O d. They are parallelThe grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A⃗ A→ through D⃗ D→. This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified. A. What is the xcomponent of A→? B.What is the y component of A⃗ ? C.What is the y component of B⃗ ? D.What is the x component of C⃗ ? E. In ordered pair notation, write down the components of vector B⃗ F. In ordered pair notation, write down the components of vector D G.What is true about B⃗ and D⃗ ? They have different components and are not the same vectors. They have the same components but are not the same vectors. They are the same vectors.If the magnitude of the vector product of two vectors a and b are are equal to ab, then what do we know about a and b? a. They are parallel O b. they are in different directions O c. they are perpendicular O d. they are antiparallel
- 1. A. Which vector below best represents the direction of the two concurrent vectors shown: B. C. D.To celebrate the start of October, you want to win a pumpkincatapult contest, which requires you to build a catapult and launcha pumpkin from it. You build your catapult so that it releases thepumpkin when the catapult arm is exactly vertical, as shown inthe picture. a.Draw a picture and make a list of known and unknownquantities for the scenario b.Suppose the catapult arm has a length of R = 3 m and the pumpkin undergoes uniform circular motion with an acceleration of a = 75 m/s^2 before it is launched. What is the speed of the pumpkin at the moment it is launched?A vector force F1 of 3 N is direcected in 20 degrees North of West, and a vector force F2 of 4 N is directed in 60 degrees East of North. 1. Draw each vector F1 and F2 in the xy-plane. 2. Write the magnitude and the direction of each vector. B. Component Method of Adding Vectors 1. Calculate the x and y components of each vector. 2. Calculate the x and y components of the resultant vector F3 = F1 + F2 . 3. Determine the magnitude of the resultant vector F3 ( Compare this result with #2 (triangle method)).
- The components of vectors ?⃗ and ?⃗ are given as follows: Ax = 5.1 Bx = -2.6 Ay = -5 By = -4.3 What is the magnitude of vector sum ? + ? choices: a. 2.5 b. 5.1 c. -9.3 d. 9.6 The equilibrant force is 5500 Dynes in magnitude and in the direction of 30 degrees South of East. Find the resultant force and direction. 5500 Dynes 170 degres 5500 Dynes, 150 degrees 5500 Dynes, 130 degrees 5500 Dynes, 30 degreesEvaluate each of the following. Assume î, ĵ, k are the unit vectors aligne with the x, y, and z axes, respectively. a. î j = d. (4î – j) · (3î + 5j – 10k) = b. k - k= c. k- î=1. For the vectors shown in the figure, find a) A. B b) B.C c) A. C Use either method. Be careful about units and significant figures. Ď (10.0 m) 25.0° Ć (12.0 m) y 53.0⁰ Copyright 2000 Pesmond.cation, Inc, putishing as Pedry B (15.0 m) 30.0° O X A (8.00 m)
- A sailboat under auxilary power is proceeding in the direction N 25° W at 6 (25° West of North) miles per hour. A tail wind is blowing 15 mph in the direction S 35° E (35° East of South). Which of the following is the component vector for the resultant vector that considers both the sailboat and the tail wind? A. Submit Answer O B. O C. D.63. To find the resultant of a concurrent force system, express each force as a Cartesian vector and add the i, j. k components of all the forces in the system. True False 64. A position vector ir ates one point in space relative to another point. True False 65. The tensile force developed in a continuous cable that passed over a frictionless pulley must have a constant magnitude throughout the cable to keep it in equilibrium. O True False 66. A cable can support only a compressive or "pulling" force. True False 67. In equilibrium, IF includes all the known and unknown forces which act on the particle. True O False9. We have 3 vectors below. Unit vectors i and j represent the x and y axes. A = 8.00 i-2.00 j B = 3.00 i +5.00 j C=-6.00 i +4.00 j a. Find the sum, R= A + B + C. Express in component form as above. b. Find the magnitude of R c. Find the direction of R