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Question

asked 2021-05-07

Find a vector equation and parametric equations for the line segment that joins P to Q.

P(1, -1, 5), Q(5, 6, 1)

vector equation r(t) = ?

parametric equations (x(t), y(t), z(t)) = ?

P(1, -1, 5), Q(5, 6, 1)

vector equation r(t) = ?

parametric equations (x(t), y(t), z(t)) = ?

asked 2021-06-07

Find the curve’s unit tangent vector. Also, find the length of the indicated portion of the curve.

\(r(t)=(2\cos t)i+(2\sin t)j+\sqrt{5}tk, 0\leq t\leq\pi\)

\(r(t)=(2\cos t)i+(2\sin t)j+\sqrt{5}tk, 0\leq t\leq\pi\)

asked 2021-06-01

Find the vectors T, N, and B at the given point.

\(r(t) =\) and point \(<4,-\frac{16}{3},-2>\)

\(r(t) =

asked 2021-05-14

Find a nonzero vector orthogonal to the plane through the points P, Q, and R. and area of the triangle PQR

Consider the points below

P(1,0,1) , Q(-2,1,4) , R(7,2,7)

a) Find a nonzero vector orthogonal to the plane through the points P,Q and R

b) Find the area of the triangle PQR

Consider the points below

P(1,0,1) , Q(-2,1,4) , R(7,2,7)

a) Find a nonzero vector orthogonal to the plane through the points P,Q and R

b) Find the area of the triangle PQR