College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- 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 qarrow_forwardThree vectors A, B, and C have the following components: Ax=5.00, Ay=7.00; Bx=4.00, By=3.00; Cx=2.00, Cy=5.00. (a) Find the x and y components of A+B +C. (b) Find the magnitude and direction of A+B+Carrow_forwardIn the next sets, you are given the magnitude and one component. There is an ambiguity in determining the vector, because you can only determine the absolute value of the other component and not its sign; therefore, there are two possibilities. In these tables, you must enter the absolute value of the component and provide two angles for the vector, the first one assuming the other component is positive and the other assuming the component is negative. You must also provide two angles for the antiparallel vector in the same order. Set Set 5a 5b 6a 6b Ax |Axl 32 -26 Ayl Ay SENECIENTE 42 -21 Magnitude of A 62 62 Magnitude of A 72 64 Angle of A Angle of A 0 0 (pos A) (neg Ay) (pos Ay) (neg Ay) (pos A) (neg Ax) (pos A) (neg Ax) Angle of -A Angle of -A 0 0 (pos Ay) (neg A,) (pos Ay) (neg Ay) (pos A) (neg Ax) (pos A) (neg A₂)arrow_forward
- Given vectors a=(10,-9) and b=(0,-5) Find the magnitude of the resultant vector: T = 3 a +26arrow_forwardMultiple Concept Example 9 provides background pertinent to this problem. The magnitudes of the four displacement vectors shown in the drawing are A = 17.0 m, B = 12.0 m, C = 11.0 m, and D = 24.0 m. Determine the (a) magnitude and (b) direction for the resultant that occurs when these vectors are added together. Specify the direction as a positive (counterclockwise) angle from the +x axis. (a) Number i (b) Number i Units Units 20.0⁰ 35.0⁰ 50.0* > > D +Xarrow_forwardA 20.0° SALA +y C 160 60.0⁰ (a) Number i B (b) Number i The three displacement vectors in the drawing have magnitudes of A = 5.98 m, B = 6.75 m, and C = 4.20 m. Find the resultant ((a) magnitude and (b) directional angle) of the three vectors by means of the component method. Express the directional angle as an angle above the positive or negative x axis which is less than 90°. +x Units Unitsarrow_forward
- Two vectors, and lie in the xy plane. Their magnitudes are 4.82 and 4.69 units, respectively, and their directions are 306° and 46.0°, respectively, as measured counterclockwise from the positive x axis. What are the values of (a) and (b) ||7x3? (a) (b) Number i Number i Units Unitsarrow_forwardVector a lies in the yz plane 68.0° from the positive direction of the y axis, has a positive z component, and has magnitude 3.70 m. Vector b lies in the xz plane 39.0° from the positive direction of the x axis, has a positive z component, and has magnitude 2.10 m. Find (a) à · 7, (b) the x-component of a × 7, (c) the y-component of a x7, (d) the z-component of a xb, and (e) the angle between a and b.arrow_forwardVector CC has a magnitude of 22.222.2 m and points in the −?‑−y‑direction. Vectors AA and BB both have positive ?‑y‑components, and make angles of α=43.9°α=43.9° and β=27.2°β=27.2° with the positive and negative ?-x-axis, respectively. If the vector sum A+B+C=0A+B+C=0, what are the magnitudes of AA and B?arrow_forward
- Two vectors are given by a = 9.01 + 8.0 and B b = 6.7î + 2.6ĵ. Find (a) a × b, (b) à · b, (c) a + b). b, and (d) the component of a along the direction of b? (a) Number i (b) Number (c) Number (d) Number i i i Units Units Units Unitsarrow_forward(b) (c) (d) (e) (f) pleasearrow_forwardMultiple Concept Example 9 provides background pertinent to this problem. The magnitudes of the four displacement vectors shown in the drawing are A = 18.0 m, B = 11.0 m, C = 12.0 m, and D = 28.0 m. Determine the (a) magnitude and (b) direction for the resultant that occurs when these vectors are added together. Specify the direction as a positive (counterclockwise) angle from the +x axis. (a) Number (b) Number Units Units 20.0⁰ 35.0 +y 50.0* 다. D +Xarrow_forward
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