137 Answered Questions for the topic vector
10/27/14
Find an equation of the plane
Find an equation of the plane through the point (-5, -1, 1) and perpendicular to the vector (-1, 1, 5). Do this problem in the standard way
Find the dot product of x and y
Let x = [-4, 4,5] and y=[0,0,-3]
Find the dot product of x and y
x.y=?
Find the vector w=2u-3v and its additive inverse.
Let u=(1,-1,0) and v=(1,-2,-3). Find the vector w=2u-3v and its additive inverse.
w=
-w=
Find the angle between the vectors
Find the angle between the vectors
[1
4
-5]
and
[5
-5
4]
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)
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)
more
Vector
06/07/13
Find the unit vector?
Let f(x, y, z)=yz+xz-6. At the point x=1, y=1, z=1, find the unit vector that points in the direction for which f is increasing at the fastest rate.
Vector Math
06/06/13
Compute the curl?
Let F(x, y) be the vector field ((x-y)/(x^2+y^2), (x+y)/(x^2+y^2)). Compute curl(F).
Vector
05/18/13
Find a potential function for the vector field?
Find a potential function for the vector field f(x, y)=2x/y i+(1-x^2)/y^2 j.
Vector
04/01/13
Find the principal unit normal vector?
Find the principal unit normal vector to the curve defined by r(t)=<t, t^2>.
T(t)=1/sqrt(1+4t^2)i+2t/sqrt(1+4t^2)j
I need to find T'(t) using quotient rule but don't know how. Show your steps.
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