Answered: 1.1 Find the projection of the vector…

1.1 Find the projection of the vector A=1-2j+ k on the vector B = 4i - 4j+ 7k (note: Bold letters indicate vectors. Hint: Projection A on the vector B=A.b where b is a unit vector.)

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 63P: Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a)...

See similar textbooks

Related questions

Q: A wedge assembly, composed of wedges X and Y, is designed to lift crate W whose weight is 1345 N, as…

Q: A ball of mass m is slowly and carefully placed inside a container full of water as shown below.…

Q: The cart moved a distance of 165 cm. How many meters did the cart move? (1 meter 100 centimeters) m

A: Introduction : In this question we are provided with value of distance in cm . With help of…

Q: [6.] A 20 kg box resting on a horizontal, frictionless surface is attached to a 8 kg weight by a…

A: Visualize the problem:

Q: A vertical spring 0.100 meter long is stretched to a length of 1.25 meters when a 2 kilogram mass is…

Q: Given data : Mass=34 kg Acceleration=2.3 m/s2 Find force

A: Given Mass (m) = 34 kg Acceleration (a) = 2.3 m/s2 Force on object is given as :- F = m × a

Q: Show that the spread of velocities caused by Heisenberg uncertainty principle does not have…

A: Uncertainity principle was the first big step towards quantum world. It was this principle which led…

Q: A ball of mass 1.52kg is thrown upward with a speed of 6.66 m/s. What is the magnitude of the…

Q: if the distance is (1000) ft and the travel time is (18.9) second , then the space mean speed is…

A: Given Distance (d) = 1000 ft Travel time (t) = 18.9 second Space mean speed(V) = distance/time…

Q: [9.] A 6.0 kg package in an Amazon sorting room slides 3.0 m down a plane inclined 60 degrees below…

A: In the given question, Mass of the package (m) = 6 kg Distance moved down the plane (d) = 3m Angle…

Q: Three cars (car F, car G, and car H) are moving with the same speed and slam on their brakes. The…

Q: Consider a box, of mass 5 kg, being pushed along a horizonal surface a distance of 2.9 m in 16.2…

A: Given: The applied force is 165.7 N. The displacement of the object is 2.9 m. The time interval is…

Q: A train is 243 m long runs at 62 m/s. Determine the time ?

A: Introduction : In this question we are provided with value of distance and speed . with these data…

Q: A circuit consists of a 10.0-ohm resistor, a 15.0-ohm resistor, and a 20.0-ohm resistor connected in…

A: Given data: Three resistors are connected in parallel combination R1 = 10.0 Ω, R2 = 15.0 Ω and R3 =…

Q: What is background absorption and background correction. How does the use of a continuum light…

A: If part of the radiation is absorbed by molecules or lost owing to scattering, a higher gross…

Q: Find the work done Force=0.87 N Displacement 0.2 m

A: Given data : Displacement=d Force=F To find : Work done

Q: A car of mass 1,712 kg collides with a wall. The initial speed of the car is 16 m/s. After…

A: A car of mass m = 1,712 kg collides with a wall. The initial speed of the car is 16 m/s. After…

Q: 17. A car starts from rest and has a constant acceleration of 3.0 m/s². Find the average velocity…

A: Given, initial speed of the car, u = 0 ms moving with constant acceleration, a = 3.0 ms2 time…

Q: QUESTION 10 A Watt (W) is defined as one Joule (J) of energy per second (s): 1 W = 1 J/s. It is also…

A: Battery life of car is 75kWh = 75 × 103 Wh Car will comes to rest after entire energy of Battery is…

Q: What is the relationship between the radiation intensity and the distance of the source?

A: Intensity obeys inverse square law ie intensity of radiation varies inversely with the square of…

Q: Find the height of ball to be raised of mass 18 kg to gain potential energy of 480 J.

A: Given data : Acceleration due gravity = g Potential energy =…

Q: A ball is dropped from a height of 60 meters above the ground. How long does it take to hit the…

Q: A square loop of wire with side length of 3.20 cm and carries a current of 3.95 mA, is initially…

Q: Determine the x-y and n-t components of the 33-kip force F acting on the simply-supported beam. F =…

A: Draw the schematic diagram of the system.

Q: Physics A flat surface with the shape of an equilateral triangle is submerged in water so that its…

A: Given equilateral triangle leg length = 2.1 m pressure force =?

Q: Two magnets are placed with their south poles at the same distance away from a compass as shown…

A: It is strongest at the poles. So, what are magnetic poles? Magnetic poles are opposite ends of a…

Q: Calculate the moment of inertia about centroidal axis of I section. b-159 mm, d-216 mm yt-37.4 mm. y

Q: What force would be needed to produce a ball of mass 12 kg ? an acceleration of 6 m/s² in

A: mass of the ball, m = 12 Kg magnitude of acceleration, a = 6 m/s2 using newton's second law…

Q: Replace the three forces shown by an equivalent force-couple system at point A. If the forces are…

A: The moment of the force about a point is defined as the product of the magnitude of the force and…

Q: ● A rigid wire, carrying a current I, consists of a semicircle of radius R and two straight portions…

A: Divide the total wire into 3 segments. One is the left straight wire, the second is the right…

Q: Find the value of mass Force 22 N Acceleration=3.5 m/s2

A: Given data : Force=F Acceleration=a Required : Mass

Q: Calculate the potential difference required across a conductor of resistance 5 2 to allow a current…

Q: EKAU na nga ito A mass is oscillating with amplitude A at the end of the spring. How far is this…

A: In oscillation, Kinetic energy is at x distance from equilibrium is given as:- K = 12mω2A2-x2…

Q: Force = 24 N Time = 5 s Calculate the Impulse

Q: A tennis ball traveling at 12 m/s was approaching the tennis player's racket. The ball was hit back…

Q: Find the work done Force=0.87 N Displacement 0.2 m

Q: Given data: Density = 350 kg / m3 Mass = 24.4 kg Find the volume ?

A: Write the given values with the suitable variables. ρ=350 kg/m3m=24.4 kg Here, ρ and m are the…

Q: 1. Sphere A has mass ma = 0.05 kg, velocity magnitude va = 2.0 m/s making an angle = 30° with the +…

Q: A sphere rolling with an initial velocity of 9 m/s starts up a plane inclined 30 degrees with the…

Q: Compute the combined moment of the two 55-lb forces about (a) point O and (b) point A. The moment is…

Q: Q1) Are the following statements true or false? 1. An electric dipole consists of two charges Q,…

A: According to Bartleby guidelines we can only answer first three True/False at a time. Kindly post…

Q: A car travels 300 km in 6 hours. What is the average speed of the car (in km/hr)? Given: Work:…

Q: Given data: Mass=34 kg Acceleration=2.3 m/s2 Find force

A: Answer:- Given Mass(m) = 34 kg Acceleration (a) = 2.3 m/s2 Force (F) = ? We know that Force =…

Q: An object is launched at a velocity of 25 m/s in a direction making an angle of 20° upward with the…

Q: A car travels 300 km in 6 hours. What is the average speed of the cor (in km/hr)? Given: Work:…

A: Average speed of any object is defined as total distance travelled in a particular time interval…

Q: A 58-kg skier is coasting down a 25° slope, as Figure 6.7a shows. Near the top of the slope, her…

Q: A ball of mass 4.506 kg is thrown upward with a speed of 5.727 m/s. What is the magnitude of the…

A: Write the given values with the suitable variables. m=4.506 kgu=5.727 m/s Here, m is the mass and u…

Q: What evidence can you cite to support the claim that the frequency of light does not change upon…

A: When you stand in front of a mirror and compare the color of the jacket with the color of its image,…

Q: Q2: Answer the following questions (in Arabic): a. What is the continuity equation? When can use it.

Q: What force would be needed to produce an acceleration of 6 m/s² in a ball of mass 12 kg ?

Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

1.1
Find the projection of the vector A=1-2j+ k on the vector B = 4i - 4j+ 7k
(note: Bold letters indicate vectors. Hint: Projection A on the vector B = A. b
where b is a unit vector.)
1.2
Determine a unit vector perpendicular to the plane of A = 2i - 6j - 3k
and B = 4i + 3j-k (where bold letters are vectors)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point? What is your displacement vector? What is the direction of your displacement? Assume the +x -axis is horizontal to the right.
A trapper walks a 5.0-lan straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?
A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.
Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a) the component of vector Aalong vector C , (b) the component of vector Calong vector A , (c) the component of vector i along vector F , and (d) the component of vector Falong vector i .
Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44
Find the scalar components of three-dimensional vectors G and H in the following figure and write the vectors in vector component form in terms of the unit vectors of the axes.
Lei B = 5.00 m at 60.0. Let the vector C have the same magnitude as A and a direction angle greater than that of A by 25.0. Let A B = 30.0 m2 and B C = 35.0 m2. Find the magnitude and direction of A.
A small plane flies 40.0 km ma direction 60 north of east and then flies 30.0 km in a direction 15 north of east. Use the analytical method to find the total distance the plane covers from the starting point, and the geographic direction of its displacement vector. What is its displacement vector?
The polar coordinates of a point are r = 5.50 m and = 240. What are the Cartesian coordinates of this point?
A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53