1. Calculate the dot product of vectors a and b: 30.0 B (2.40 m) y 0 A (3.60 m) 70.0⁰ 2. Sam has measured the end points of two poles, and wants to know the angle between them: (11,5,8) X (4,8,2) b ax k 8 a ay az y 3. Vector a has magnitude 3, vector b has magnitude 4 and the angle between a and b is 60°. What is the value of a. b.? 4. Vector a has magnitude 3√2, vector b has magnitude 5 and the angle between a and b is 135°. What is the value of a. b.? 5. What is the size of the angle between the vectors a = (2, 5, -1) and b = (-3, 2, 6)?

1. Calculate the dot product of vectors a and b: 30.0 B (2.40 m) y 0 A (3.60 m) 70.0⁰ 2. Sam has measured the end points of two poles, and wants to know the angle between them: (11,5,8) X (4,8,2) b ax k 8 a ay az y 3. Vector a has magnitude 3, vector b has magnitude 4 and the angle between a and b is 60°. What is the value of a. b.? 4. Vector a has magnitude 3√2, vector b has magnitude 5 and the angle between a and b is 135°. What is the value of a. b.? 5. What is the size of the angle between the vectors a = (2, 5, -1) and b = (-3, 2, 6)?

Name: rection: Calculate the following. (Three points each)2. Sam has measu
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: rection: Calculate the following. (Three points each)2. Sam has measured the end points of two poles,and wants to know the angle between them:1. Calculate the dot product of vectors a and b:(11,5,8)A (3.60 m)a(4,8,2)azk70.030.0()axyB (2.40 m)ay3. Ve

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

8. Find the work done by the force field F in moving an object from P to Q. F(x, y) = x² ↑ + Y³ Ĵ; P(1,0), Q (3,3) () boo
Subject: phys
I need the answer as soon as possible
What’s the answer to 3,4, and 5?
1. Image that two particles, a proton and an electron, are confined to move on circular rings of fixed radius, r. For each particle, the kinetic energy can be written as m 1 T = ² (vx² + v₂²) = = 1 w² 2 where the angular velocity, w = and the moment of inertia, I = mr², arise from converting this expression from Cartesian to plane polar coordinates. de dt' (a) Let the fixed radius for each particle be r= 100 pm. Suppose that both the proton and the electron can be treated classically and that they happen to have the same angular momentum, L = Iw. What would be the ratio of their angular velocities, electron? @proton (b) Now, suppose both the proton and the electron have the same angular velocity, w, and the same angular momentum, L, but are on rings of different sizes. If the proton's ring has radius r = 200 pm, what is the radius of the electron's ring (in pm)? (c) For the case examined in part (a) (same ring with same angular momentum), what is the ratio of the electron's kinetic…
Consider vectrs A= 3t 2+ 6oê and É- Bxî- 139 -3û. Bx is unknown. a) If the z- comporent of The vector A XB equals O, what is the value of Bx? b) Calulate the dot product of vegors c) Calalate the angle betwen the z-axis and Vector Á. betwoen the Z-axis and ->
QUESTION 6 A main sequence star of mass, M, and radius, R, collapses to a white dwarf star with a radius 1.0% as big as the original star. If w is the angular velocity of the original star, what is the angular velocity of the white dwarf star? Approximate the star to be a uniform solid sphere. а. 10,000w b. 1,000w С. 5,000w d. 20,000w е. 50,000w
4. In the Bohr model of atomic hydrogen, an electron has a mass of 9.1 × 10-31 kgm revolves about a proton in a circular orbit of radius 5.3 × 10-¹¹ m. The proton has a positive charge equal in magnitude to the negative charge on the electron and its mass is 1.67 × 10-27 kgm. (a) What is the radial acceleration of the electron? (b) What is its angular velocity?
A 0.50 kg mass can slide along the frictioneless loop the loop with loop radius R = 12 cm. The block is released from rest at point P, at height h=7R above the bottom of the loop. How much work is exerted on the block by the gravitational force as it travels from P to Q? Use g = 10 N/kg.
un 10 A 2,500-kilogram roller coaster car travels along the track from Point 1 to Point 6 as shown in the image, losing 44,000 joules of energy at a steady rate. The height of the car at Point 1 is 30.00 meters. If Point 3 is halfway between Points 1 and 6 in distance along the track, what is the sum of the car's potential and kinetic energies at Point 3? Select one: 691,000 J. 700,500 J. 775,500 J. 713,000 J. Image Source: WGBH Max: 2,300 g High 200 0 O Thermal megy point to pin 44,000 Sum of EE and PE O
Solve correctly please. (Should correct)
The angle between 0 and 2pi in radians that is coterminal with the angle 14/15pi in radians is: