College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- Vector v = <1,1,0> and vector w = <-1,-1,sqrt2>. Find a vector that is orthogonal to both v and warrow_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 X Ayl 53.1 56.28 Ay 42 -21 ✓ ✓ Magnitude of A 62 62 Magnitude of A 72 64 Angle of A 58.93 301.07 114.8 245.2 Angle of A Angle of -A ✔ (pos Ay) 238.93 ✓(neg Ay) 121.07 ° ✔ (pos A,) 294.8 ✓(neg Ay) 65.2 X X (pos Ax) (neg A,) (pos Ax) (neg Ax) Angle of -A ✓(pos Ay) ✔(neg Ay) ✔° (pos Ay) (neg Ay) X (pos A) X(neg Ax) (pos Ax) (neg A₂)arrow_forwardConsider vector A, with a magnitude of 3, and a vector B, with a magnitude of 2. Are the following relationships possible? If so, sketch a picture that shows an example of how they're possible, and identify all the angles between the vectors that make the relationship possible. (Exact angles, not decimal approximations. No calculators.) Relationship: Possible? Sketch: Angles: a. 1A+삐>5 b. A+ B| = 5 c. A+ B| = 1 d. A+미<1 - 1<|A+삐<5arrow_forward
- Find the magnitude and direction of the sum of the three given vectors. Use rectangular components and standard angle.arrow_forwardA vector has a magnitude of 30 and a direction of 40°. Another vector has a magnitude of 70 and a direction of 130°. What are the magnitude and direction of the resultant vector? Round the magnitude to the thousandths place and the direction to the nearest degree. a 69.504; 73° b 76.158; 73° c 69.504; 107° d 76.158; 107°arrow_forwardThe figure shows four vectors, A, B, C, and D, having magnitudes 8.0 m, 15.0 m, 12.0 m, and 4.0 m, respectively. The sum of these four vectors is 30° y B 30° Xarrow_forward
- The three vectors in the figure have magnitudes a = 2.80 m, b = 3.00 m, and c = 10.2 m and angle 8 = 26.0°. What are (a) the x component and (b) the y component of a; (c) the x component and (d) the y component of b; and (e) the x component and (f) the y component of ? If = pa + qb, what are the values of (g) p and (h) q? Its Xarrow_forwardFind the magnitude and direction of each vector. (See photos for vectors A and B). Find the magnitude and direction for vector A + B.arrow_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
- A vector has a magnitude of 2.8 m and points in a direction that is 135 counterclockwise from the a axis. You may want to review (Page 71).arrow_forwardTwo vectors, 7 and 7, are equal: 7 = 7. Which of the following statements are true? (Select all that apply.) The z component of must be equal to the z. component of 7. O The directions of 7 and さ may be different. may be different. must be equal to the y component of 7. The magnitudes of and The y component of The x component of O The unit vector must be equal to the unit vector c. must be equal to the x component of c.arrow_forwardGiven vectors a=(9,-6) and b=(3,-2) Find the magnitude of the resultant vector: = 3ते + 2barrow_forward
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