Find a point on a given line such that if it is joined to two
given...
Find a point on a given line such that if it is joined to two
given points on opposite sides of the line, then the angle formed
by the connecting segment is bisected by the given line.
3. (5 points) (a): Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.$$ x=e^{-t} \cos t, \quad y=e^{-t} \sin t, \quad z=e^{-t} ; \quad(1,0,1) $$(b): Find the unit tangent vector \(\mathbf{T}\), the principal unit normal \(\mathbf{N}\), and the curvature \(\kappa\) for the space curve,$$ \mathbf{r}(t)=<3 3="" 4="" sin="" cos="" t="">$$
Find the equation of the tangent line to the curve at the point
corresponding to the given value of t
1. x=cost+tsint, y=sint-tcost t=7pi/4
2. x=cost+tsint, y=sint-tcost t=3pi/4?
2. Find the point on the line 6x+y=9 that is closest to
the point (-3,1).
a. Find the objective function.
b. Find the constraint.
c. Find the minimum (You need to specify
your method)
Find point PP that belongs to the line and direction vector vv
of the line. Express vv in component form. Find the distance from
the origin to line L. 251. x=1+t,y=3+t,z=5+4t,x=1+t,y=3+t,z=5+4t,
t∈R answers are
a- P=(1,3,5) V=<1,1,4> b. Square root of 3
I want all work shown please. I do not understand how to get
root 3
a) Find the equation of the normal line at the point (−2, 1 − 3)
to the ellipsoid x2 /4 + y2 + z2 /
9 = 3
b) Find a plane through P (2, 1, 1) and perpendicular to the
line of intersection of the planes: 2x+y−z = 3 and x+2y+z = 2.