A person drives a car for a distance of 450 m. The displacement A of the car is shown in the drawing below. What are the components of the displacement vector? +y +x A O Ax = - 450 m, Ay = 0 O Ax = +450 m, Ay = +450 m O Ax = 0, Ay = - 450 m O Ax = 0, Ay = +450 m
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- Vector A is 30° below the x-axis. Vector B is 35° to the right of the negative y-axis. You will be asked to find the resultant, R = A + B. What are the x- and y-components of the resultant? Group of answer choices Rx = 3.0 m; Ry = -2.7 m Rx = -9.9 m; Ry = 9.5 m Rx = 9.5 m; Ry = -9.9 m Rx = -3.0 m; Ry = 2.7 mThe route followed by a hiker consists of three displacement vectors A,B ,c Cand . Vector A is along a measured trail and is 1550 m in a direction 25.0° north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows that the direction is 41.0° east of south. Similarly, the direction of vector C is 10.0° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or A+ B+ C = 0. Find the magnitudes of vector B and vector C .Assume you have the following two vectors: A = 11.5i + 17.5j + 19.5k B = 4.9i + 9.5j - 1.1k Part (a) What is the x-component of the vector V = A × B? Part (b) What is the y-component of the vector V = A × B? Part (c) What is the z-component of the vector V = A × B? Part (d) What is the magnitude of the vector V = A × B?
- A vector has both a direction and a "magnitude", or length. An example of a vector quantity is the wind, which has both a direction and a strength. What is the magnitude of the vector 32+ -93 +7k?Vector A= -6i+4j Vector B= -3i-8j How do you find the quantity of abs(A+B)?You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that these three vectors are Cartesian unit vectors. To answer this question, you must use the form: a1i + a2j + a3k Find a unit vector in the direction of q
- In the cross (or vector) product F = qu x B we know that q = 1 F = −29î + −16ĵ + −18k 6.01 +3.07 + 7.0k V = B = B + BJ + Bi What then is B in unit-vector notation if Bx = By? B = i î+ i Ĵ+ iDetermine the x and y components of the following three vectors in the xy plane. (a) A 6-m displacement vector that makes an angle of 34° clockwise from the +y direction. x: m y: m (b) A 29-m/s velocity vector that makes an angle of 39° counterclockwise from the -x direction. x: m/s y: m/sVector A has a magnitude of 15.5 and its direction is 320° counter-clockwise from the +x-axis. What are the x- and y-components of the vector? Ax = Ay
- A girl starts from the point A walks 8.0 m east, then 5.0 m south 3.0 m west, and finally 4.0 m to the north to a point B. The displacement from the point A to the point B is?Problem 8: Consider two vectors A and B, expressed in unit vector notation as A= aji+ azj and B = bji+ bzj. A. Part (a) Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above. A+B = B 7 8 HOME a i j k 4 5 6 a1 a2 bị 1 2 3 b2 d + END - h VO BACKSPACE CLEAR m DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Part (b) Enter an expression for the difference vector A - B in terms of quantities shown in the expressions above. Part (c) Enter an expression for the square of the magnitude of the sum vector |A + B| in terms of quantities shown in the expressions above.P9 E4