Answered: Given a vector (77, 48, 22) and another…

Science

Physics

Given a vector (77, 48, 22) and another vector (4, 49, 67) what is the z-component of their sum?

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 77AP: Show that when A+B=C then A2+B2+2ABcos , where is the angle between vectors A and B .

See similar textbooks

Related questions

Q: In a student laboratory exercise, the wavelength of a 44,300 Hz ultrasound wave is measured to be 0....

A: Given the wavelength and frequency of a longitudinal wave, it is required to find the temperature of...

Q: The acceleration of a jeepney is given by ax(t) = at - Bt^2; where a= 1.50 m/s^3 and ß = 0.120 m/s^4...

A: We need to find the position and velocity of the jeep as a function of time. Also, we need to find t...

Q: A geologist is camped 4,864 m (about 3 miles) from a volcano as it erupts. (a) How much time elapse...

Q: Problem 2: A baseball is thrown with velocity vo at an angle 0 = 45° above the horizontal. The verti...

Q: Sample Problem 1.5 The diagram shows a force F = 250 N is applied to a chord which is atteached to t...

A: Given,F = 250 N coordinate of the points, A-2,-5,6 B4,3,-1

Q: Acceleration increases with time. Which of the following describes the associated velocity versus ti...

A: Given: The acceleration of the object increases with time. Introduction: The acceleration of the obj...

Q: A power plant is being built that will deliver 400 kw at 79,000 V using a tungsten cable with a resi...

A: GivenPower deliver by powe plant ,Pout=400 kWat voltage , V=79000 VResistance of tungsten cable , R=...

Q: 1. What is the magnitude and direction of the force exerted on a 3.50 µC charge by a 250 N/C electri...

A: Answer:- Given Charge (q) = 3.50 uC q = 3.5 × 10-6 C Electric field (E) = 250 N/C Magnitude ...

Q: 2. A circuit has 10 ohms of resistance and 20 amps of current. A how much voltage would be necessary...

A: Given data : Current = i Resistance = R To find : V...

Q: A 90.0-g piece of solid copper at 1000 C is placed in a thermally insulated flask tht contains 40.0 ...

A: Given,mass of the copper, m = 90.0 gtemperature, Tc = 100 °Cspecific heat, Cc = 0.0920 calg.°Cmass o...

Q: (5 blanks) What is the maximum possible efficiency (in Percent) of a steam engine working between a ...

Q: An archer aims directly at an apple attached to a tree branch a horizontal distance d away and a ver...

A: Motion of projectile can be divided into x component and y component. To prove arrow always hits th...

Q: (a) What magnitude point charge creates a 10,000 N/C electric field at a distance of 0.250 m? (b) Ho...

Q: Calculate the circular orbit height of the satellite if the frequency which it emits is reaching an ...

A: This question involves the concept of Gravitation and Waves. Doppler's effect is the phenomenon of c...

Q: 1. A small charge (given q) is found in a uniform electric field (given E). Determine the force on t...

Q: 3. Two vectors are equal if they have the... a. Different magnitude and direction. O b. Same magnitu...

A: Given 3. Two vector are equal if they have the ______ 4. The sign of the components in vector will...

Q: Find the work done by the engine cycle shown in the P-V diagram below. P(kPa) Q23 3 200 - Q12 Work Q...

Q: Grains from a hopper falls at a rate of 22.1 kg/s vertically onto a conveyor belt that is moving hor...

A: Given: dmdt = 22.1 kg/sv =4.75 m/s

Q: A large cannon is fired from ground level over level ground at an angle of 30 degrees above the hori...

Q: The coefficient of performance of a refrigerator is 2.6, and the compressor is using power 450 W. Wi...

A: Given value--- The coefficient of performance= 2.6 . power = 450 W. We have to find--- With what...

Q: How much work must be done (in electron Volts) to move a stationary electron located 5.29 x 10 -11 m...

A: Given Old position, d1 = 5.29×10-11 m New position, d2 = 21.2×10-11 m k = 8.99×109 N.m2 C-2 e = 1...

Q: A falling object is pulled down by the earth. The earth is pulled up toward the object. Why doesn’t ...

A: Every object with a mass attracts the other objects with a mass towards it courtesy of the gravity o...

Q: In a single cycle, a heat engine extrac from a hot reservoir and exhausts 5.0 cold reservoir. What i...

A: Given Data : Heat extracted by hot reservoirQh=8 Kcal Heat exhausted into cold reservoirQc=5 cal

Q: Charge q, = 8.0x10-°C is at the origin, and charge q2 = -6.0x10-6C is on the x - axis, 0.300m from t...

Q: Solar radiation (irradiance) was measured on a horizontal surface, GH = 564 W/m2. What would the irr...

Q: 2. An electron and a proton are 0.53x10°m apart. What is their dipole moment if they are at rest? -1...

A: Given data: An electron and a proton Distance (d) = 0.53×10-10 m Required: The dipole moment (P)

Q: How electrically neutral bodies become charged by the following methods? a. Rubbing/Friction b. Indu...

A: This question is based on Electrostatics topic. A body is charged via transfer of electrons. If the ...

Q: Two Iron wires with the same cross-sectional area are found in a box. The first has a resistance of ...

Q: A particle with positive charge a- 4.19x 10 1 C moves with a velocity v- (4i + 4j - k) m/s through a...

Q: Part A In the winter sport of bobsledding, athletes push their sled along a horizontal ice surface a...

A: Given: speed at top u = 9.2 m/sdistance travelled on slope d = 120 mangle of slope = 9.0°

Q: A circular coil of radius 0.140 m contains a single turn and is located in a constant magnetic field...

Q: 7 The long straight wires in Fig. 31-3 both carry a current of 12 A, in the directions shown. Find B...

Q: . The ratio of mean distances of three planets from the Sun are 0.5 1: 1.5, then the square of time ...

Q: Three different point charges are located at the vertices of a 3-4-5 triangle whose longest side is ...

Q: Question 1. Show that the difference in decibel levels 3, and 32 of a sound source related to the ra...

Q: You enter the carnival ride called "The Rotor". The circular room is spinning and you and other ride...

Q: A car starts from rest and travels at a constant acceleration of 600 kilometers per hour^2 along a s...

Q: Please see attached. Thank you

A: Given

Q: 3. for drift current to pass through the semiconductor specimen a) the applied electric field above ...

A: Note: As per the guidelines, we can only answer first question of multiple question. Sorry for the i...

Q: Part A Racing greyhounds are capable of rounding corners at very high speeds. A typical greyhound tr...

A: Givendiameter of tack=45 mSpeed ,v=15 m/s

Q: . A 1200 kg elevator is carrying an 80-kg passenger. Calculate the acceleration of the elevator, and...

A: GivenMass of elevator, m1=1200 kgMass of Passenger, m2=80 kg

Q: Among the four graphs, there is only one graph for which average velocity over the time interval (0,...

A: Given that:- Position-time graph is given in the question.

Q: Which of the following statements about an ac process is untrue? The change in entrony is zero

A: Given Data : Adiabatic process

Q: 6) The figure shows a block of mass 1.00 kg is on a frictionless 37.0° incline that is subject to a ...

Q: A260 kg block is initially at rest on a horizontal surface. A horizontal force Fof magnitude 6.69 N ...

Q: For the following image d =3.11cm, q-ve =-1.88nC, and q+ve =3.76nC. What is the electric potential e...

A: Given: d=3.11 cmq-ve=-1.88 nCq+ve=3.76 nC

Q: The Lagrange polynomial that passes through the 3 data points is given by X;| -1.6| 2.5|7.7 Yi | 3.4...

Q: k) water in a bucket being swung in a vertical circle: 1) Mars going around the sun:

A: Water in a bucket being swung in a vertical circle. The force that is required to move the water in ...

Q: 1. 30 V (a) Determine the total resistance in the circuit. (b) 62 Determine the total current suppli...

Q: t with the acceleration of 3.5 m/s^2 .then find the distance and velocity a

A: We know that the formula of the second equation of motion is as s= ut +12at2 where "s" is the dist...

Question

Given a vector (77, 48, 22) and another vector (4, 49, 67) what is the z-component of their sum?

Expert Solution

Step 1

Given that

Vector 1 (A)= (77, 48, 22)

And , vector 2 (B)= (4, 49, 67)

Let i, j and k be the unit vectors along + x , + y and + z axis respectively

So, A= 77i + 48 j + 22 k

B= 4i + 49j+ 67 k

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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

Show that (BC)A is the volume of the parallelepiped, with edges formed by the three vectors in the following figure.
Given a vector (54, 46, 48) and another vector (18, 37, 7) what is the z-component of their sum?
If a= (5, -12), what are the magnitude and direction of a? What is the size of the angle between the vectors a= (2, 5, -1) and b = (-3, 2, 6)?
Consider the 3D vectors C and D defined as C = 4i + 5j - 12k and D = 12i - 8j + 2k. Which of the following vectors is the result of the cross product, C x D?
Let vector a = <-1,4,0> and vector b = <4,-4,1>. The the cross product of vector a and b.
Given vector A = <20, -11, 10> and vector B = <3, 3, -11> , what is A dot B?
A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.3 meters, and a mass M = 251 kg. A small boy of mass m = 42 kg runs tangentially to the merry-go-round at a speed of v = 1.2 m/s, and jumps on. Randomized Variables R = 1.3 metersM = 251 kgm = 42 kgv = 1.2 m/s a)Calculate the moment of inertia of the merry-go-round, in kg ⋅ m2. b) Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of the merry-go-round. c) Immediately after the boy jumps on the merry go round, calculate the angular speed in radians/second of the merry-go-round and boy.
A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.3 meters, and a mass M = 251 kg. A small boy of mass m = 42 kg runs tangentially to the merry-go-round at a speed of v = 1.2 m/s, and jumps on. Randomized Variables R = 1.3 metersM = 251 kgm = 42 kgv = 1.2 m/s a) The boy then crawls towards the center of the merry-go-round along a radius. What is the angular speed in radians/second of the merry-go-round when the boy is half way between the edge and the center of the merry go round? b) The boy then crawls to the center of the merry-go-round. What is the angular speed in radians/second of the merry-go-round when the boy is at the center of the merry go round? c)Finally, the boy decides that he has had enough fun. He decides to crawl to the outer edge of the merry-go-round and jump off. Somehow, he manages to jump in such a way that he hits the…
A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.3 meters, and a mass M = 291 kg. A small boy of mass m = 42 kg runs tangentially to the merry-go-round at a speed of v = 1.8 m/s, and jumps on. Randomized VariablesR = 1.3 metersM = 291 kgm = 42 kgv = 1.8 m/s Part A- Calculate the moment of inertia of the merry-go-round, in kg ⋅ m2. Part B- Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of the merry-go-round. Part C- Immediately after the boy jumps on the merry go round, calculate the angular speed in radians/second of the merry-go-round and boy. Part D- The boy then crawls towards the center of the merry-go-round along a radius. What is the angular speed in radians/second of the merry-go-round when the boy is half way between the edge and the center of the merry…
A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.5 meters, and a mass M = 251 kg. A small boy of mass m = 41 kg runs tangentially to the merry-go-round at a speed of v = 1.8 m/s, and jumps on.Randomized VariablesR = 1.5 metersM = 251 kgm = 41 kgv = 1.8 m/s (a) Calculate the moment of inertia of the merry-go-round, in kg ⋅ m2. Part (b) Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of the merry-go-round.(c) Immediately after the boy jumps on the merry go round, calculate the angular speed in radians/second of the merry-go-round and boy.(d) The boy then crawls towards the center of the merry-go-round along a radius. What is the angular speed in radians/second of the merry-go-round when the boy is half way between the edge and the center of the merry go round?(e) The…
What is the angle between the two vectors i + 2j - 3k and 3i + 2j + k? Round your answer to the nearest degree
Let vectors A=(2,1,−4), B=(−3,0,1), and C=(−1,−1,2).Calculate the following: What is the angle θAB between A and B?