VECTORS AND KINEMATICSExample 1.4 Area as a VectorWe can use the cross product to describe an area. Usually one thinksof area in terms of magnitude only. However, many applications inphysics require that we also specify the orientation of the area. Forexample, if we wish to calculate the rate at which water in a streamflows through a wire loop of given area, it obviously makes a differencewhether the plane of the loop is perpendicular or parallel to the flow.(If parallel, the flow through the loop is zero.) Here is how the vectorproduct accomplishes this:Consider the area of a quadrilateral formed by two vectors C and D.The area A of the parallelogram is given by

Answered: Image /qna-images/answer/d2b1deae-2bb7-4cae-96c2-89a3f65bbeac.jpg

Example 1.4 Area as a Ve We can use the cross produ of area in terms of magnitu physics require that we also example, if we wish to calc flows through a wire loop of, whether the plane of the loo (If parallel, the flow through. product accomplishes this: Consider the area of a quad The area A of the parallelogr.

Example 1.4 Area as a Ve We can use the cross produ of area in terms of magnitu physics require that we also example, if we wish to calc flows through a wire loop of, whether the plane of the loo (If parallel, the flow through. product accomplishes this: Consider the area of a quad The area A of the parallelogr.

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 2.15CYU: Check Your Understanding For the vectors given in Figure 2.13, find the scalar products AB and CF ....

See similar textbooks

Similar questions

Show that (BC)A is the volume of the parallelepiped, with edges formed by the three vectors in the following figure.
What do vectors and scalars have in common? How do they differ?
Find the angles that vector makes with the and axes.
Assuming the +x -axis is horizontal and points to the tight, resolve the vectors given In the following figure to their scalar components and express them in vector component form.
Check Your Understanding For the vectors given in Figure 2.13, find the scalar products AB and CF . The three displacement vectors A , B , and C in Figure 2.13 are specified by their magnitudes A=10.0,B=7.0 and C=8.0 , respectively, and by their respective direction angles with the horizontal direction =35,=110 , and =30 . The physical units of the magnitudes are centimeters. Choose a convenient scale and use a ruler and a protractor to find the following vector sums: (a) R=A+B , (b) D=AB , and (c) S=A3B+C .
The result of dot product of two vectors is: O a. a vector quantity O b. a scalar quantity Oc dot product does not exist O d. both scalar and vector
Help | System Announcements Z Your answer is partially correct. Try again. For the vectors in the figure, with a = 3.60, b = 2.7o, and c = 4.50, calculate (a) a b, (b) a.2, and (c) b.7. (a) Number This answer has no units v Units (b) Number14.02 This answer has no units v Units (c) Number This answer has no units v Units Click if you would like to Show Work for this question: Open Show Work arch
In this problem, I am suppose to manipulate the equation to find what r equals to. Thank you.
Academic Departments ETC - CIMS The components of vector A'are given as follows: Ax = 5.6 Ay = -4.7. What is the angle between vector A'and positive direction of x- axis? a. 127° O b. 90° O c. -40° O d. +40° If the magnitude of the vector product of two vectors a and b are are equal to 0, then what do we know about a and b? O a. they are in different planes O b. they are perpendicular they are in different directions d. They are parallel
If the magnitude of the vector product of two vectors a and b are are equal to 0, then what do we know about a and b? a. they are perpendicular Ob. they are in different directions с. they are in different planes O d. They are parallel
in terms ot Snell's law equal tan (0- p) tan (e+¢) what is it () in terms of (e and )?
Vhich of the following statements concerning vectors and scalars is FALSE? O A vector quantity may either be positive or negative. O Component method is used to add vectors with complex directions. O Two vectors can be added like real numbers only if they have direction. A scalar quantity may either be positive or negative.