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...
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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).
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...
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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 +...
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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...
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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 =...
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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...
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10/08/16
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)...
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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...
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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.)...
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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
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)
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...
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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...
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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)
Applications of the Dot Product (Vectors)
Determine the interior angles of triangle ABC for A(5,1), B(4, -7), and C (-1,-8)
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)
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