Flag question Let a and b be two unit vectors. a.(a+ (axb)) (a x b) + (bxa) a. (a x b) ax (a.b) Previous page Choose... Choose... Choose... ◆ ◆ ✓ Choose... equals the zero vector equals 4 equals 0 is meaningless equals 1 Next page Screensh 023-0...t 22. sho 04.18.10 Screenshe 2023-0...01.5 sho 04.18.54 Screenshe 2023-0...01.5 CO-30 sho 04.15.20 Screenshe 023-0...t 01. sho 23.31.50
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- If vector A = 2i - 2j and B=1i +1j. Find the magnitude of vector C = A + 2B. OA. 4 O B. 2√2 O C. √10 O D. 3The two vectors ⃗a and ⃗b in the figure above have equal magnitudes of 10.0 m. Find ... (a) . . . the x component of their vector sum ⃗r (b) . . . the y component of their vector sum ⃗r (c). . . the magnitude of ⃗r (d) ] . . . the angle ⃗r makes with the positive direction of the x axis.Displacement vector A --> is 5 cm long and points along the +y-axis. Displacement vector B --> is 6 cm long and points at +30° to the -x-axis. Sketch the vectors and: a. Determine the x and y components of vector A --> . b. Determine the x and y components of vector B -->.
- what is the main difference between distance and displacements. choose all that apply. 1. Displacement is a vector and distance is a scalar. 2. Displacement is calculated by how far the object travels without paying attention to the direction of travel. and distance is calculated by the change in position of the object 3. Distance is how far and displacement is how far in which direction 4. Distance is a vector and displacement is a scalar 5. Displacement is defined by magnitude and direction both but distance is defined by magnitude only 6. Displacement is calculated by calculating the change in position of the object and distance is calculated by how far the object travels without paying attention to the direction of travel.1:44 LTE O A instruction.gwinnett.k12.ga.us Adding Vectors Practice Name Per Solve the following vector problems by doing the following: 1- SKETCH THE VECTORS OUT AS MUCH TO SCALE AS POSSIBLE 2- Make an X and Y chart to organize the vectors. Make all vectors that go UP or to the RIGHT POSITIVE. Make all the vectors that go DOWN or to the LEFT NEGATIVE! 3- Derive TWO final vectors from your chart: One Horizontal 'X' vector and One vertical 'Y' vector. 4- Solve for a Resultant!!! 5- Remember that DISTANCE is used to determine SPEED. It is all the vectors added together!! 6- Remember that DISPLACEMENT is used to determine VELOCITY. It is your RESULTANT vector!!! Practice 1: Willy the great white shark swims in the ocean hunting for his favorite meal, seals! He swims 200m N, 150m E, 100m S, 500m W, 100m S, 200m E, 150m N over the course of 8 hours. Make a sketch of the journey and determine the following: 1. What was Willy's total distance in meters traveled at the end of the trip? 2. What…Problem 1 Vector A = -5i + 4j. Vector B = -8i - 6j. %3D %3D a) Find the dot product A B. Give your answer to 2 significant figures. b) Using your result from (a) for the dot product, find the smaller angle between A and B. Give your answer to 3 significant figures. Do not use polar coordinates to solve this problem. Of course, you may check your answer with polar coordinates if you want to. Please upload file that has your initials in the file name. For example, if your initials are FDR, the name your file "Week2QuizProb1_FDR.pdf". Upload Choose a File Question 2
- a) Express ?⃗ in component form. (Recall: Draw ?⃗ with unit vector x, unit vector y, unit vector z at its tail.) Determine the angles ?,?, and ?. Plug into the generic expression for a vector in component form. b) Express ?⃗ in component form. (Recall: Draw ?⃗ with unit vector ?, unit vector y, unit vector z placed at its tail.) Determine the angles ?,?, and ?. Plug into the generic expression for a vector in component form.)Which of the following is true for vector addition in a linear vector space? I. It is commutative. II. It is associative. III. The vector sum of two vectors each in the linear vector space is also in the same linear vector space. O I. and III. O I. and II. O 1., II., and III. O II. and III.6. Consider two vectors pointing at different directions. The first vector has a length of 5.2 cm directe at an angle of 0°. Meanwhile, the second vector is 6.7 cm long and is directed at an angle of 2A08 Determine the following: a. First vector components b. Second vector components c. Illustration of two vectors and the resultant vector d. Resultant vector magnitude e. Resultant vector components f. Resultant vector angle
- 2d 2. The magnitude, F, of the force shown and the dimensions a, b and c are given. In terms of given quanti- ties, what is the vector projection of the force onto the direction from R UPO a R to Q? 近Open with 6269mp4 CONCEPT CHECK # 02 20 Choose the correct response to make the sentence true: A component of a vector is larger than the magnitude of the vector. a.always b.never c.sometimesEvaluate 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=