PRACTICE EXERCISE 1.1Given vectors A = a, + 3a, andB = 5a, + 2a,- 6a, determine(a) A + B|(b) 5A- B%3D(c) The component of A along a,(d) A unit vector parallel to 3A +BAnswer: (a) 7, (b) (0, -2, 21), (c) 0, (d) ±(0.9117, 0.2279, 0.3419).

Answered: Given vectors A = a, + 3a, and B = 5a,…

Science

Physics

Given vectors A = a, + 3a, and B = 5a, + 2a,- 6a, determine (a) A + B| (ъ) 5A - В c) The component of A along a,

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter4: The Particle Nature Of Matter

Section4.2: The Composition Of Atoms

Problem 1E: Exercise 1 Find the horizontal speed vx for this case.

See similar textbooks

Related questions

Q: If A and B are two vectors, and B =-2A, so vector B has

A: A and B are two vectors .... And B = -2A

Q: If A = a(3.0i + 4.0j), where a is a constant, determine the value of a that makes A a unit vector.

Q: Three vectors A = 2i+j-k, B = i+j-2k, and C = i +3j-k, where SB + C is perpendicular to A, the value…

Q: wo vectors A = 4ax + 3ay and B = ax + 2ay + 2az , find

Q: Vector m=4.00 points eastward and vector n=3.00m southward. The resultant vector m+n is given by?

A: Given data: M = 4.00 m, towards East N = 3.00 m, towards South Required: Resultant vector M+N

Q: Vectors A and B both lie in the x-y plane. Vector A is given by a=4i-7j and vector B has a magnitube…

A: Given that the vectors A→,B→ in X-Yplane and are perpendicular (θ=900) to each other. A→ and B are…

Q: Determine the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i +…

A: Basically when we make dot product of two vectors then we get the angle between the vectors. Here…

Q: Two vectors,r→ands→lie in the xy plane. Their magnitudes are 4.86 and 4.06 units, respectively, and…

A: (a) Vector notation of r is,

Q: Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as…

Q: In Problem,the vector v has initial point P and terminal point Q.Write v in the form that is,find…

A: Given that Position of P is = ( 0,0) Position of Q is = (3,4)

Q: The sum of vectors D, E and F is a resultant with a magnitude of 24.80 cm pointing 21.340 west of…

Q: Find the x− and y− components of the vectors A~, B~ , C~ , and D~ . Take A = 10.0, B = 7.00, C =…

Q: Given vectors a=(-2,8) and b=(-3,1) Find the x-component of the resultant vector: T= 3a – 26

A: Given a = -2i + 8j and b = -3i + 1j

Q: Given the following vector components of vectors C and D: Cx = 7.40, Cy = 4.60, Dx = 6.20, Dy =…

A: Let

Q: Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: Two vectors A and B have precisely equal magni- tudes. For the magnitude of Á + B to be larger than…

A: given,

Q: 15 SSM ILW www The two vec- tors d and b in Fig. 3-28 have equal magnitudes of 10.0 m and the angles…

A: Since you have asked multiple subparts, we will solve the first three for you. If you want a…

Q: Given the displacement vectors A = (2i + 4j + 4k) m and B = (5i - 2j + 3k) m, findthe magnitudes of…

Q: are given by đ = 3.01 + 3.0j – 2.0k, 37 Three vectors b = -1.0i – 4.0ĵ + 2.0k, and 7 = 2.01 + 2.0j +…

Q: For any two vectors A and B, if A.B =0 then the angle between them is Zero aO degree 90.b O degree…

A: Given here for two vectors A and B if A→. B→ =0we are asked what is the angle between vector A and…

Q: The sum of vectors D, E and F is a resultant with a magnitude of 24.80 cm pointing 21.34o west of…

A: According to question we need to find--- (a) the x-component of E, Ex, ? (b) the magnitude and…

Q: ctors A = 4ax + 3ay and B = ax + 2ay + 2a

A: GivenA→ = 4ax + 3ay andB→ = ax + 2ay + 2az

Q: 3.1. Consider the displacement vectors, Ã = (2î + 4})m , and B = (î – 7})m. If Ä - B+ 3Č = 0, what…

Q: on subtituting the rupected valuej in the above relation we get: R= 2 cos ST + asın i5 +4 cos 25i +…

Q: Two vectors are given by d = (5.0 m)i - (6.0 m)ĵ + (1.0 m)k %3D and b = (-1.0 m)î + (1.0 m) ĵ + (2.5…

A: Given,a→ = 5.0 m i^ - 6.0 m j^ + 1.0 m k^b→ = -1.0 m i^ + 1.0 m j^ + 2.5 m k^

Q: Into which quadrant do each of the following vectors point? A Quadrant II 90°<0く180° Quadrant I 0"…

A: Questions based on vectors and quadrant system

Q: Let θ be the angle that the vector A vec. makes with the +xaxis,measured counterclockwise from that…

A: There are two physical quantities in nature- scalar and vector. Scalar quantities are those which…

Q: Given A = 5.00i + 4.00j, B = 3.00j - 7.00k. Find the vector C = 2A - B %3D O + 4i – 10j – 7k O- 10j…

A: Given: A=5.00i+4.00j B=3.00j-7.00k To Find: C=2A-B

Q: Two vectors have length V1=3.5 km and V2= 4.0 km.What are the maximum and minimum magnitudes of…

A: The length of the two vectors,

Q: The sum of vectors D, E and F is a resultant with a magnitude of 24.80 cm pointing 21.340 west of…

A: Given value--- sum of vector D,E and F = 24.80 cm , 21.34 degree west of North . vector D = 30 cm ,…

Q: Determine the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i + 3.…

Q: Three vectors A, B, and C have the following components: Ax=5.00, Ay=7.00; Bx=4.00, By=3.00;…

Q: Let vectors A⃗=(2,−4) A → = ( 2 , − 4 ) and B⃗=(−3,1) B → = ( − 3 , 1 ) . Calculate the following:…

Q: Given that u is a vector of magnitude 3, v is a vector of magnitude 4, and the angle between them…

A: Given: The magnitude of vector u is 3. The magnitude of vector v is 4. The angle between the vectors…

Q: Given three vectors; A = 5m West, B = 8m East and an unknown vector C which lies along the x- axis.…

Q: Given the vectors A = (-2î + j) m and B = (4î – ĵ) m- The direction of the resultant vector R = Ã +…

A: The given vector A is A→=-2i^+j^m The vector B is B→=4i^-j^m The resultant vector…

Q: The figure shows four vectors, A, B, C , and D , having magnitudes 10.0 m, 8.00 m, 6.00 m, and 2.00…

A: The magnitude of vector A is, The magnitude of vector B is, The magnitude of vector C is, The…

Q: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A: For vector addition, we resolve each vector into horizontal and vertical components and then add…

Q: Given vectors: A = 8.3i + 33 and B = 6.5i + 7.4) Find AXB

Q: If a vector 2i^+3j^−4k^ is perpendicular to the vector 3i^+j^+αk^, then the value of α is

Q: Given two vectors A= -2.00i + 3.00j +4.00k and B= 3.00i + 1.0oj -3.00k, do the following. (a) Find…

A: solution:

Q: Under what circumstances would a nonzero vector lying in the xxyy plane ever have components that…

A: At 45degree angle a nonzero vector lying in the xxyy plane ever have compo

Q: and b, have magnitudes 4m and 5m, respectively. Vectorc= (a+ b). Considering all possible…

Q: Given the following vectors: A=2i+4j, B=51-j, and C=10i+2j, find the resultant vector R.

Q: Find the direction of vector A=-29i+53j counterclockwise from the positive x axis.

Q: Consider two vectors ā = 41 – 5j + 2k and b = -2i + 2j + 7k. Find (a) ā + b (bjā – b, and (c) a…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Concept explainers

Scalars and Vectors

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

Question

PRACTICE EXERCISE 1.1
Given vectors A = a, + 3a, andB = 5a, + 2a,- 6a, determine
(a) A + B|
(b) 5A- B
%3D
(c) The component of A along a,
(d) A unit vector parallel to 3A +B
Answer: (a) 7, (b) (0, -2, 21), (c) 0, (d) ±(0.9117, 0.2279, 0.3419).

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

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

6. Please explain and show your work. Use the right symbols and calculations. Thank you! :) a) With ā = [-4,-1], b = [3, -5] and c = [-2,6]. Determines: (C - 2b) • (a + 3c) b) Determines an orthogonal vector at a - [4,-1,0] and b = [2, 5, -3]. c) Shows that the vectors a = [1,-5,2], b =[1,7,-2] and c = [8,5,1] are coplanar (or linearly Dependents).
Need help asap please. 1. What is the magnitude of the normal acceleration at point B? 2. How long does Andrei travel from B to C?
Problem 5: Two vectors in Cartesian coordinates have components A = (3, 1) and B = (2, y). a) If the scalar product of A and B is 8, what is y?
Hi. Can you solve part d only?
General Problems 57. G A spider undergoes the displacement represented by the vector r1 in Figure P3.57. The spider rests for a while and then undergoes the displacement represented by the vector r2 Each of these displacements has magnitude d. After making these two consecutive displacements, is the spiders distance from its original starting point greater than 2d, equal to 2d, between d and 2d, equal to d, or less than d? Explain your reasoning.
For part b I got wrong I'm not sure how do we solve it
The question D please: D. If we use the equations found in (b), would it be possible to solve (c) with the equations found or would it be necessary to use some other equation? Justify your reasoning.
Please answer letter A clearly, briefly, and concisely po, especially sa #4. I think the answer to 1-3 is A>B>C>E, but for the #4 I’m quite unsure. Hope you could help me!
ANSWER PART D OF THIS QUESTION PLEASE After spending an entire year together in an apartment, Grover and Elmo have decided to have some extended time apart in different parts of the state. When they get to the airport, they find out that there is a 65.000 km/hr wind that points 55.000 degrees E of S. Grover's plane flies for 75.000 minutes before arriving at his vacation destination, which is 60.000 km W and 150.000 km S of the airport. (a) Find the magnitude and direction of Grover's plane's velocity with respect to Earth in km/h.(b) Find the direction and magnitude of the velocity of Grover's plane with respect to the wind in km/h.(c) Draw a picture showing how the vectors add together graphically for Grover's plane during his trip. Clearly label each vector with its variable name as well as its magnitude and direction. (Hint: Make your picture large enough so that those labels are clearly visible.)(d) The plane that Elmo flew in has an airspeed of 45.000 km/hr. In what direction…
Problem 1: A plane moves towards a ground-based radar dish. Radar locates the plane at a distance D=15.8km from the dish, at an angle θ=51.2∘ above horizontal. Part (c) Write an expression for the position vector, D→, in rectangular Cartesian unit-vector form using the coordinate axes provided in the drawing in the problem statement.
I included the previous parts for context, but I just need help on "Part D" please!
I have already figured out Part A. I just need help with Part B. I have determined that Part B would be 54.3 degrees North of West, but the problem is asking for the degress West of North. Thanks!