Answered: Of the following vector fields, the one… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 12E

See similar textbooks

Related questions

Question

reply as soon as posible.

Of the following vector fields, the one that is conservative corresponds to:
3ху1+х
A) F(x, y, z) = (x³, 3y¹+x, =¹+²)
3ху1+z
B) F(x, y, z) = (y³,
3y¹+²=²+2)
3r*y+z
C) F(x, y, z) = (y³,
+六)
y²
D) F(x, y, z) = (x³,
= (x³, 3a¹4u+², ÷ +12)

Expert Solution

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Find a vector that is orthogonal to (−1, 2, 2)
Compute the flux of the vector field (24, (6,0), (6,1), and (0,1) - Calculator -xy³), out of the rectangle with vertices (0,0),
If r(t) = (1+ t)/?i +(1- t)/2j +tk, t= 0 then the binormal vector B is %3D 3' اخترأحد الخيارات
Consider the vector 212 +1 (2t, 2, 1) The derivative of y with respect to t is (2-4t,-2t,-2t) T (1- 2t, 2t, 21) O None of these options are true O (2, 4t, 0) O (1 2t, 2t,- 2t) O (2-4t, 2t.-2t)
Which of the following sets of vectors in R' are linearly independent? (а) (-3,0,4), (5, -1,2), (1,1,3) (b) (-2,0,1), ((3, 2,5), (6, -1,1), (7,0, -2)
Let x(¹) (t) = -3t e 4e-3t, 0 x (²) (t) = [_5e-³]; x (³) (t) = -5e-3t, Are the vectors x(¹) (t), x(²) (t) and x(³) (t) linearly independent? choose ◆ If the vectors are independent, enter zero in every answer blank since those are only the values that make the equation below true. If they are dependent, find numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer. 0 -3t [8] = 0[*]+[-+* 0 [4e-3t -5e-3t -0[ + -5e-3t -35e-3t -5e-3t -35e-3t
The dot product of two vectors X1 Yi X2 y2 and y = X = Xn Yn in R" is defined by x· y = x1yı + x2Y2 + perpendicular if x· y = 0. Any vector in R' perpendicular to X • + xnYn. The vectors x and y are called ... 3 6. can be written in the form s+ t.
The position vector of a moving particle in space at time t is given by the vector function r (t) = - (5 - t)2i + (2t - 1) j + (5 - t)3/2 K Find the largest possible time when the particle reaches the speed of 4 units. Enter an integer or a fully reduced fraction such as 0, 15, 3/4 , etc. No Spaces Please.
Find a vector x = ( c, d) that has dot products x · r = 1 and x · s = 0 with two given vectors r = (2, -1) and s = (-1, 2).
Find a vector orthogonal to both (-3, 2,0) and to (0, 2, 1) of the form (1,
. Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the following scalar products: (a) →A · →C ; (b) →A · →F; (c) →D · →C ; (d) →A · (→F + 2 →C); (e) ^i · →B; (f) ^j · →B; (e) (3 ^i − ^j) · →B, and (h) B^ · B→.
Given the vector fields A=x²y a + 4xz a X y - 5yz² az - B=-2xyz a - 3y²z a + 4yz²a_ X y Ĉ=x a_-5xy a -7xy²z az y Determine the volume of the parallelepiped formed by the three vectors as sides at (-3,-1,2).

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS