For the following displacement vectors in meters: A = +4.0 - 5.0k, B=-3.0+2.0k,and C= -3.0-2.0 +1.0k. Calculate (a) A −2B +3C, (b) A-B, (c) the angle between Aand B, and (d) A × (B+C).

Answered: Image /qna-images/answer/f78b62fc-1da6-4cc1-b704-217304793fd9.jpg

Answered: For the following displacement vectors…

For the following displacement vectors in meters: A = +4.0 - 5.0k, B = -3.0 ĵ+2.0k, and C= -3.0-2.0 + 1.0k. Calculate (a) 4 −2B +3C, (b) A·B, (c) the angle between A and B, and (d) A × (B+C).

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

Related questions

Q: B 17.4 8. Two vectors are presented by the diagram. What is the direction and magnitude of the cross…

Q: Vector v = <-4,4>. Vector w = <-2,-1>. If vector v+w+s = <-5,0>, what is the value…

A: The objective of the question is to find the value of vector s given that the sum of vectors v, w,…

Q: The figure shows two displacement vectors A and B. Vector A points at an angle of 24.0° above the x…

Q: Two vectors are given by a = 2.07 + 5.0j and b = 3.0i + 9.0j. Find (a) a x b", (b) a. b", (c) (a* +…

A: Given:a = 2.0 i^ + 5.0 j^ ................eq(1)b = 3.0 i^ + 9.0 j^ ................eq(2)

Q: Two vectors are given by a = 5.71 +7.7ĵ and b = 2.4î + 7.8ĵ. Find (a)|à x b]. (b) à · b, (c)(a + b).…

A: Note: As per the guidelines, we can only answer three subparts of a question. Sorry for the…

Q: Given vector M= 4 î + 4 ĵ − 5 and vector N= 5 î − 4 ĵ − 3k̂ , calculate the vector product, vector…

Q: The magnitude of two vectors A and B shown in the figure below are respectively A 3m and B = 1.5 m.…

A: The resultant of two vectors is the result of adding them together. The direction of the resultant…

Q: The three vectors in the figure have magnitudes a = 3.10 m, b = 2.80 m, and c = 10.3 m and angle 0 =…

Q: Given the displacement vectors A = (7.00 -9.00 +7.00 k) m and B = (4.00 i +5.00 -9.00 k) m, find the…

Q: Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the…

A: a)Resolve vector A into respective x and y components as,

Q: The figure shows two displacement vectors A and B.Vector A points at an angle of 23.0° above the x…

Q: What angle OB, where 0° < OB < 360°, does B make with the +x-axis? Express your answer in degrees.

Q: A surveying team records the following displacement vectors on three days (24 hour days) of walking,…

A: Given: Displacement vectors corresponding to three days are given d1 = (7i + 8j) km d2 = (6i + 2j)…

Q: What is the sum of the following four vectors: a. In unit vector notation b. as a magnitude and an…

A: The vectors are given as: A→=(3 m)i+(5 m)jB→=[(3 m)cos178°]i+[(3 m)sin178°]j=(−2.998 m)i+(0.1047…

Q: 4. Two vectors are given as follows: A= -2i + 5j- 4k B- -3i + 47 + 2k What is the magnitude of…

Q: The three vectors in the figure have magnitudes a = 2.70 m, b = 2.60 m, and c = 10.4 m and angle e =…

Q: Two vectors are given by a = 2.5î + 5.6ĵ and b = 7.9î + 2.4ĵ. Find (a) a × b ,(b) đ b,(c) (a + b). b…

Q: Two vectors are given by d = 7.0f + 2.6 and b = 5.41 +9.7). Find (a) d x b (b) d b d + b) %3D and…

A: Given:a→ = 7.0 i^ +2.6 j^ b→ = 5.4 i^ + 9.7 j^

Q: Two vectors, r and s lie in the xy plane. Their magnitudes are 3.41 and 5.16 units, respectively,…

A: Given data: The magnitude of vector r is 3.41 units. The magnitude of vector s is 5.16 units. The…

Q: = Given the following vectors: A 15.0 m at 40.0° counterclockwise from the +y-axis, B=20.0 m at…

Q: Problem 1: Suppose A (-3.03 m)i + (4.35 m)j, B = (2.71 m)i + (-4.29 m)j + (2.99 m)k, and D = (-2.48…

A: Determine the magnitude of the given vectors as follows. A=-3.03 m2+4.35 m2=5.30 mB=2.71 m2+-4.29…

Q: Two vectors Au and Bu are at right angles to each other. The magnitude of Au is 1. What should be…

A: Given, A=1 Resultant R=2 Angle A=90o

Q: Three vectors are given by P = -3î + 5} + 4k , Q = 6î –- 4ĵ + 2k and R = 3î + 2j + k. Compute the…

Q: A displacement vector extends from the origin to the point (-4.0 cm, 7.0 cm). What is the magnitude…

A: According to the given data A=(-4 , 7 ) cm O=(0 , 0) we need to find Magnitude and direction

Q: What is the sum of the following four vectors in (a) unit-vector notation, and as (b) a magnitude…

Q: Find the angle between vectors for the following. (Enter the smallest positive angle for each in…

A: (a) The angle between the two vectors can be found by taking the dot product of the two vectors and…

Q: vector A has components Ax = -3.0 and Ay = -4.0, and vector B has components Bx = 3.0 and By = -8.0,…

Q: In unit vector notation, å, and åz vectors are given as å, = -3î + 6ĵ + 2k and åz = -2î – 5j + 2k.…

A: Introduction : Angle between two vectors can be found by taking their dot products. Given :…

Q: Given the displacement vectors A = (8.00 î - 3.00 +3.00 k) m and B = (8.00 î+ 5.00 ĵ - 1.00 k) m,…

Q: Vector A can be expressed in (i,j,k) notation as 5.0i - 4.0j, and vector B as -7.0i + 2.0j.…

Q: A sailboat race course consists of four legs, defined by the displacement vectors A B C and D, as…

A: Given:- Three displacement vectors have a magnitude as A=2.70 km B = 5.30 km and C = 4.40 km…

Q: The force F has a magnitude of 590 N. Express F as a vector in terms of the unit vectors i and j.…

A: Given: The magnitude of the force is 590 N. The angle made by force F with the x-axis in the clock…

Q: Assume you have the following two vectors: A = 11.5i + 17.5j + 19.5k B = 4.9i + 9.5j - 1.1k…

Q: 9.7i + 4.6) and = 9.21 + 9.5). Find (a) a x B (10) .0( + B). Two vectors are given by d and (d) the…

Q: Given the displacement vectors A= (4.00 î - 8.00 j+ 5.00 k) m and B = (1.00 î + 9.00 j – 6.00 k) m,…

Q: Two vectors are given by a = 1.5î−4.0ĵ and b = −11.9î + 8.1ĵ. What is the magnitude of b? i…

A: Given data: Vector b = -11.9i + 8.1j Required: The magnitude of the vector b and angle between…

Q: Given the displacement vectors A-(2.00-9.00 +5.00 k) m and B= (4.00 +9.00 -4.00 k) m, find the…

Question

100%

For the following displacement vectors in meters: A = +4.0 - 5.0k, B=-3.0
+2.0k,
and C= -3.0-2.0 +1.0k. Calculate (a) A −2B +3C, (b) A-B, (c) the angle between A
and B, and (d) A × (B+C).

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 by step

Solved in 2 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

Two vectors are given by a = 9.01 + 8.0 and B b = 6.7î + 2.6ĵ. Find (a) a × b, (b) à · b, (c) a + b). b, and (d) the component of a along the direction of b? (a) Number i (b) Number (c) Number (d) Number i i i Units Units Units Units
Shown below are the components of the three vectors: X = 1.42 i - 3.85 j Y = 2.35 i - 3.30 j Z= Zx i + Zy j If Vector X ⋅ Z = 5.40, and Vector Y ⋅ Z = 12.10, find the magnitude of vector Z.
Two vectors have the following magnitude, A = 11.5m and B = 7.5m . Their vector product is A* B=-2.5m i+12. m k
For the given vectors V₁ and V₂, determine V₁ + V₂, V₁ + V₂, V₁ - V₂, V₁ V₂, V₁ V₂. Consider the vectors to be nondimensional. . Assume V₁ = 10, V₂ = 15, a = 2, b = 3,0 = 30°. V₂ V₁ k) k) k) a Answers: 0 V₁ + V₂ = i 25 V₁ + V₂ = ( i V₁-V₂= (i V₁x V₂ = (i V1 V₂ = i -x i+ i i+ i i+ i + j+ j i
Two vectors, and lie in the xy plane. Their magnitudes are 4.26 and 6.04 units, respectively, and their directions are 302° and 45.0°, respectively, as measured counterclockwise from the positive x axis. What are the values of (a) and (b) 7 × 3? (a) (b) Number i Number i Units Units
In the diagram, the dashed lines are parallel to the x axis. The magnitudes of y the vectors are A = 10.7, B = 4.1, C = 11.4, D= 22.5, and F = 22.5. The angles, in degrees, are 0A = 30.0, OB = 53.0, 0c = 60.0, 0D = 37.0, and 0F = 30.0. In this problem, you will be asked to calculate the value of a variety of cross products. х : Text OF
Problem 2: Given vectors: A = 3 i+j- k, B = - i+ 2j+ 5 k, C = 2 j - 3 k. Find: 1. C. (A + B) 2. Cx (A - B)
A sailboat race course consists of four legs, defined by the displacement vectors A, B, C, and, as the drawing indicates. The magnitudes of the first three vectors are A = 2.90 km, B = 4.90 km, and C= 5.30 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 (. (a) Number i 6.67 (b) Number 21.29 Units Units 0 0 23.0 7 B km + Finish- B 35.0 X 40.0° Start
A sailboat race course consists of four legs, defined by the displacement vectors A, B, C, and, as the drawing indicates. The magnitudes of the first three vectors are A = 3.00 km, B = 5.10 km, and C = 4.80 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 . (a) Number IA i (b) Number i Units Units 23.0 7 167 B Finish- B 35.0⁰ A 40.0° Start
Two vectors are given by A = 3 î + 6 ĵ and B = -1 î + ĵ. (a) Find A × B. k (b) Find the angle between A and B.
Imagine that you take the cross product A x B, where A=2x + 74 and B=2x + € + 1ŷ. What is the z-component of the resulting vector?
How do we calculate ?