A vector A has the following components, Ax =5.1 cm; Ay = 2.9 cm. What is the direction of thisvector?%3D%3Da) 17.7°b) 27.2°c) 29.6°d) 34.1°e) 36.6°ae

The direction of a vector is the measure of the angle it makes with the horizontal direction. If we…

Answered: A vector A has the following…

Science

Physics

A vector A has the following components, Ax = %3D 5.1 cm; Ay = 2.9 cm. What is the direction of this %3D vector?

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 61P: A vector A has components Ax = 5.00 m and Ay = 9.00 m. Find (a) the magnitude and (b) the direction...

See similar textbooks

Related questions

Q: Vector A is 30° to the left of the negative y-axis. Vector B is 65° above the negative x-axis.…

A: 1. Vector A is to the left of negative y axis make 30° with -y-axis. It has two components.…

Q: Vector A is 30° below the x-axis. Vector B is 35° to the right of the negative y-axis. You will be…

A: Given data: Angle of vector A with + x-axis = 30° Angle of vector B with - y-axis = 35° Magnitude of…

Q: The magnitudes of two vectors A → a n d B → are 12 units and 8 units, respectively. What are the…

Q: The sum of three vectors is a vector of magnitude 5.83 oriented at an angle of 310 with respect to…

A: Given:- Three vector a →=2.0 b→=1.0 R→=5.83θ=31° Find:- The third vector

Q: 4.1. Four vectors are oriented as shown in figure, where A = 2m, B = 4m, C=3m, and D=3m. Find %3D a)…

A: We need to find the magnitude and direction of the given resultant vector R.

Q: Three vectors are shown in the figure below, but they are not drawn to scale. The sum of the three…

Q: Vector A has x and y components of -8.40 cm and 13.0 cm, respectively; vector B has x and y…

A: Write the given values with suitable variables. Ax=-8.4 cmAy=13 cmBx=12.4 cmBy=-6.4 cm Here, Ax…

Q: Question 14 A displacement vector is 23 km in length and directed 65° south of east. What are the…

Q: The components of vector A are: Ax=5.6 Ay= -4.7 What is the angle between vector A and positive…

Q: Vectors Ã and B are shown in the figure. Vector Č is given by C = Ã – B. The magnitude of vector A…

Q: The magnitude of vector a is 35.0 units and points in the direction 325 degrees counterclockwise…

Q: If vector A has components Ax = -3.0 lb and Ay= -4.0 lb, and vector %3D B has components Bx = 3.0 lb…

Q: Given the vector A = 100.00N at 30.00º above the negative x-axis. In terms of rectangular form, the…

Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 12.0 m and…

A: x-component =12 cos 54° =7.05 my-component=12 sin 54°…

Q: A vector A has components Ax = −6.50 m and Ay = 8.50 m. Find the magnitude (in m) and the…

A: (a) Magnitude of A is 10.7m.

Q: The magnitude of vector A is 8.6. Vector lies in the fourth quadrant and forms an angle of 37 with…

Q: Vector B has magnitude 7.20 and direction 14.0° below the +x-axis. Vector C has x-component Cy=-2.10…

A: Vector addition and subtraction can be done directly by taking common i^ and j^ Vector inclination…

Q: Vector A : Magnitude: 1.569 N Angle: 0 degrees x-component : 1.569 N y-component : 0 N…

A: Given data The magnitude of vector A is given as A→=1.569 N. The angle between the horizontal axis…

Q: Vector A is 2.80 cm long and is 60.0 degrees above the x-axis in the first quadrant. Vector B is…

A: Given data The length of the vector A is lA = 2.80 cm. The angle made by the vector A with the…

Q: Given vectors a=(4,8) and b=(-3,0) Find the magnitude of the resultant vector: T = 2 a + 36

A: Represent the vectors a and b in their resolved component.

Q: y B = 4.0 units A=5.0 units 70° 40° 50° C = 3.0 units Let resultant vector be R =(A)-(2B). %3D The…

Q: Vector 2 has components Ax = 12.4 m and Ay = 4.86 m. What are the magnitude and the direction of…

Q: Vector C has a magnitude of 23.4 m and points in the -y- direction. Vectors A and B both have…

Q: Vector A has a magnitude 6 units and is in the direction of the +x axis. Vector B has magnitude 4…

A: The value of vector A is A→=6 i^ , while vector B has both vertical and horizontal components ,…

Q: 35 В - 9 m А - 5 m

A: The given values with suitable variables are listed below. Here, A denotes the magnitude of the…

Q: Vector A is 3 units in length and points along the positive x-axis; vector B is 4 units in length…

Q: What's the resultant displacement vector C=A+B as a magnitude and direction? Given 2 vectors:…

A: Given: The vectors, A = 4.00i + 7.00j B = 5.00i - 3.00j

Q: The vector -5.2 A→ has a magnitude of 37 mm and points in the positive x direction. Find the x…

Q: The magnitude of vector A" is 8.6. Vector lies in the fourth quadrant and forms an angle of 37 with…

A: Given data: A magnitude of the vector A = 8.6 Vector lies in fourth quadrant Angle (θ) = 37° with…

Q: Ã (A 44.0) 56.0 28.0 Ĉ (C = 31.0) Let resultant vector be R Ā - B. %3D The x-component of resultant…

Q: 42.0 31.0

Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 16.0 m and…

A: The x component and y component of the vector is ,

Q: The angle made by the vector A-i+j with x- axis is (a) 90° (b) 45° (c) 22.5° (d) 30°

A: Given vector A→=i^+J^

Q: Vectors A and B are shown in Figure 1. a. What is A in terms of x and y components? Answer: A =…

Q: Given vectors a=(0,-3) and b=(2,0) Find the y-component of the resultant vector: T = 2a + 36

A: Given a=(0i-3j) b=(2i+0j)

Q: Let 0 be the angle that the vector A makes with the +x-axis, measured counter-clockwise from that…

A: We are allowed to give the explanation of first three subparts of a question only which is given…

Q: Vector D is in the direction 34.0 deg clockwise from the -y-axis. The x- component of Vector D is…

Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 20.0 m and…

A: Given Data: The magnitude is given as, A=20 m The angle is given as, θ=38° Draw the diagram…

Q: Vectors A and B are shown in the figure. Vector Č is given by C = Ã – B. The magnitude of vector A…

Q: In the Vector Addition Lab, Anna starts at the classroom door and walks: 2.0 meters, West 12.0…

A: The displacements in either of the directions is given by 2 m in West 12 m in North 31 m in West 8 m…

Q: If the vector A=4î+ 2dĵ and B=5î -ĵ are perpendicular ( oleis). What is the value of the constant d?…

A: Given: A=4i+2dj B=5i-j Introduction: The two vectors can be said perpendicular when the dot product…

Q: Vector A has x and y components of -9.00 cm and 18.0 cm, respectively; vector B has x and y…

A: Given data: The components of vector A and B Ax = -9.00 cm, Ay = 18.0 cm Bx = 12.8 cm, By =…

Q: B = 4.0 units A=5.0 units 40° 70° 50° C =3.0 units Let resultant vector be R = À - B %3D The…

A: A→ = 5 × ( -cos(40o)i^ + sin(40o)j^)A→ = - 3.83i^ + 3.21j^ unitsB→ = 4 × (cos(70o)i^ + sin(70o)j^)B→…

Q: Vector C has a magnitude of 23.4 m and points in the -y- direction. Vectors A and B both have…

Q: Consider the following 2 vectors: A =1.42 m 27.2° B =4.63 m 56.8° The angles in the above formulas…

Q: Calculate (a) the x-component and (b) the y-component of the vector with magnitude 24.0 m and…

A: Given data: Magnitude of a vector (A) = 24.0 m Direction (θ) = 56.0° Required: The x-component and…

Q: If a vector A has components Ax = +1 and Ay = -4, then A lies in the %3D O a. 1st quadrant O b. 4th…

A: The x-component is positive so for X-component the angle is cosθ and we know that cosθ is positive…

Concept explainers

Scalars and Vectors

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

Question

A vector A has the following components, Ax =
5.1 cm; Ay = 2.9 cm. What is the direction of this
vector?
%3D
%3D
a) 17.7°
b) 27.2°
c) 29.6°
d) 34.1°
e) 36.6°
a
e

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 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

A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.
A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.
A vector A has components Ax = 5.00 m and Ay = 9.00 m. Find (a) the magnitude and (b) the direction of the vector.
Vector lies in the xy plane. Both of its components will be negative if it points from the origin into which quadrant? (a) the first quadrant (b) the second quadrant (c) the third quadrant (d) the fourth quadrant (e) the second or fourth quadrants
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
Express in unit-vector notation the following vectors, each of which has magnitude 17.0 cm. (a) Vector E is directed 27.0 counterclockwise from the positive x axis, (b) Vector F is directed 27.0 counterclockwise from the positive y axis, (c) Vector G is directed 27.0 clockwise from the negative y axis.
The magnitudes of two vectors A and B are 12 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A + B? (a) 14.4 and 4 (b) 12 and 8 (c) 20 and 4 (d) none of these.
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.
The displacement vectors 42.0 cm at 15.0 and 23.0 cm at 65.0 both start from the origin and form two sides of a parallelogram. Both angles are measured counterclockwise from the x axis. (a) Find the area of the parallelogram. (b) Find the length of its longer diagonal.
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
Show that (2arr+2brr)dt=ar2+br2+const. where r is the vector from the origin to the point (x1, x2, x3). The quantities r and r are the magnitudes of the vectors r and r, respectively, and a and b are constants.
Vector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate (a) the magnitude of B and (b) the angle that B makes with each coordinate axis.