46 Answered Questions for the topic Vector Calculus

Vector Calculus

06/25/17

MY QUESTION IS VERY DETAIL PLEASE CHECK DISCRIBTION

you are on a boat 400 m from the closest point Perpendicular on the beach. you want to visit your friend who is located another 1km along the beach. if you can row pedal boat at a constant speed of... more
Vector Calculus Calculus Calculus 3

03/30/17

Lagrange Multipliers

Find all of the extrema of g(x,y,z)=xyz on the surface z=e^(-x^2-y^2).
Vector Calculus Math Calculus Calculus 3

03/15/17

Use differentials to approximate

Use differentials to find the approximate amount of copper used in the four sides and bottom of a rectangular copper tank that is 6 feet long, 4 feet wide and 3 feet deep inside if the sheet of... more
Vector Calculus Math Calculus Calculus 3

03/12/17

Vector Fields

For each vector field in R4 given below, either find a function for which it is the gradient, or explain why no such function exists. Variables are in the order x, y, z, w. a.(siny + wcosx + 1)e1 +... more
Vector Calculus Physics Math Help Vector

12/15/16

Vector physics help!

Suppose a body has a force of 10 pounds acting on it to the right, 25 pounds acting on it -135° from the horizontal, and 5 pounds acting on it directed 150° from the horizontal. What single force... more
Vector Calculus Precalculus Math Help Vector

12/15/16

If vector v has an initial point and a terminal point write v as multiples of the basis vectors, write v in the form v = ai + bj.

If vector v has an initial point at P1 and a terminal point at P2, write v as multiples of the basis vectors i = <1,0> and j = <0,1> That is, write v in the form v = ai + bj.   P1 =... more
Vector Calculus Precalculus Math Help Vector

12/15/16

Find a unit vector that points in the opposite direction as v.

Find a unit vector that points in the opposite direction as v.   Let .v=-3(pi 2)i-4(pi 2)j   A. u= (3/5)i+(4/5)j B. u= -(3/5)i-(4/5)j C. u= -(5/3)i-(5/4)j D. u= (5/3)i+(5/4)j  
Vector Calculus

12/04/16

Vector5.13

Find a unit vector in the direction of the vector v=〈√2,√2〉.   Please show step by step work to solution and provide final answer. Please and Thank You!
Vector Calculus

11/24/16

Vector space

X1 = [ 1 -1 1] x2 = [1 0 -1]   create a matrix A having X1 and x2 as its Rows. The null space V of A consist of all vector x such that Ax =0. List all vector in V.
Vector Calculus

10/17/16

Shortest diagonal distance

We have an empty cardboard box of dimensions breadth = 3 m, length = 4 m, and height = 2 m. An ant and a fly are sitting at one of the 8 corners inside the box and wish to go get some food at the... more

Vector Functions and Space Curves PLEASE HELP!

At what points does the curve r(t) = ti + (4t − t^2)k intersect the paraboloid z = x^2 + y^2? (If an answer does not exist, enter DNE.)   smaller t-value (x, y, z) = larger t-value (x, y, z)... more
Vector Calculus Vectors Calculus 3 Calculus 2

10/03/16

CALC 3 : Is the line through (-4, -6, 1) and (-2, 0, -3) parallel to the line through (8, 19, 8) and (3, 4, 18)?

Is the line through (−4, −6, 1) and (−2, 0, −3) parallel to the line through (8, 19, 8) and (3, 4, 18)?   Please use something along the lines of parametric and symmetric equations! This is... more

08/29/16

Vector Analysis Arc Length, Unit tangent, unit Normal and curvature

Let C be the curve given by the equation, R(t)= sin t i + cos t j + log sec t k     (0≤t<π/2)   Find: a.) the element of arc length, ds, along C, in terms of t. b.) the unit tangent T. c.)... more
Vector Calculus Linear Algebra

04/01/16

Linear Algebra (Vector Space)

Determine whether s is a basis for the indicated vector space S= {(1,2),(1,-1)} for R2 
Vector Calculus Calculus 3 Plane Vectors Plane

02/16/16

Find the line orthogonal to plane

Find the line orthogonal to plane spanned by vector v= i-5j and vector 3k passing through (2,3,1)
Vector Calculus Vector Vector Geometry Vectors

01/21/16

How do you add 2D vectors a+b with the component method?

How do you add 2D vectors a+b if the magnitude of vector a is 10, its angle with (+) x-axis is 45 and angle with (+) y-axis is 45 ... then vector b has a magnitude of 3 angle with (+) x-axis... more
Vector Calculus Calculus

08/03/15

Why can the divergence of a vector field be expressed as the dot product between the gradient and the vector?

I understand the intuition of divergence, but want to understand this part of its mechanics. Thanks
Vector Calculus

04/25/15

vectors magnitude

I do not understand how to set up the following problem:"Forces of 20 lb and 32 lb make an angle of 52 degrees with each other. find the magnitude of the resultant force."An actually picture would... more
Vector Calculus Angle Graphing Vector

05/17/14

Applications of the Dot Product (Vectors)

Determine the angle between vector PQ and the positive x-axis, given endpoints P(4,7) and Q (8,3)
Vector Calculus Graphing Triangles Vector

05/17/14

Applications of the Dot Product (Vectors)

Determine the interior angles of triangle ABC for A(5,1), B(4, -7), and C (-1,-8)
Vector Calculus Forces Vector Cartesian Graph

05/17/14

Applications of the Dot Product (Vectors)

A force, F of 25 N is acting in the direction of a = (6,1).    a) Find a unit vector in the direction of a. b) Find the Cartesian vector representing the force, f, using your answer from part a)   more

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