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# Vector Answers

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# Applications of the Dot Product (Vectors)

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

# 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)

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...

# 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.

# 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).

# 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.

# 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...