
College Physics
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Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Vector A has a magnitude of 5.00 units, and vector B has a magnitude of 9.00 units. The two vectors make an angle of 50.0° with each other. Find A. B
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- A sailboat race course consists of four legs, defined by the displacement vectors ABC, and, as the drawing indicates. The magnitudes of the first three vectors are A = 2.70 km, B-5.30 km, and C= 4.40 km. The finish line of the course coincides with the starting line. Using the data in the drawing, find (a) the distance of the fourth leg and (b) the angle. 23.0 (a) Number (b) Number Units Units B Finish- K 35.0 X 40.0⁰ Startarrow_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_forwardTwo vectors, r and s lie in the xy plane. Their magnitudes are 4.58 and 8.82 units, respectively, and their directions are 304° and 76.0°, respectively, as measured counterclockwise from the positive x axis. What are the values of (a) r and (b) T x 3? (a) Number i -27.03 Units (b) Number i 30.02 Unitsarrow_forward
- 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?arrow_forwardThe 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_forwardYou 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_forward
- Two vectors are given by a = 1.5î−4.0ĵ and b = −11.9î + 8.1ĵ. What is the magnitude of b? i already found out magnitude of b is 1.44 but how to calculate the angle between vector b and the positive x-axis?arrow_forward20.0° +y y c (a) Number 160 B 60.0⁰ (b) Number i The three displacement vectors in the drawing have magnitudes of A = 5.14 m, B = 5.67 m, and C = 3.04 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 Units <arrow_forwardVector A = 7.4 i + 3.2 j. Vector B = 3.7 i - 7.1 j. Calculate the angle between the two vectors in degrees.arrow_forward
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