At what point do the curves r1 =〈 t
, 1 − t , 3 +...
At what point do the curves r1 =〈 t
, 1 − t , 3 + t2 〉 and r2 =
〈 3 − s , s − 2 , s2 〉 intersect? Find the angle of
intersection.
Determine whether the lines L1 :
r1 = 〈 5 − 12t , 3 + 9t ,1 − 3t 〉 and
L2 : r2 = 〈 3 + 8s , −6s , 7
+ 2s 〉are parallel, skew, or intersecting. Explain. If...
Let R1(t) = < t2+3 , 2t +1, -t+3
>
Let R2(s) = < 2s ,...
Let R1(t) = < t2+3 , 2t +1, -t+3
>
Let R2(s) = < 2s , s+1 , s2+2s-6
>
Show that these two curves intersect at a right angle.
Find the intersection point (if any) of the lines
r1(t)=(−16,−30,31)+t(−2,−6,5) and r2(s)=(−84,−34,21)+s(8,4,−2).
Please show full working...
Find the intersection point (if any) of the lines
r1(t)=(−16,−30,31)+t(−2,−6,5) and r2(s)=(−84,−34,21)+s(8,4,−2).
Please show full working and all steps to help me learn.
Determine whether the lines
L1:→r(t)=〈−2,−1,3〉t+〈−5,−3,−1〉 and
L2:→p(s)=〈4,2,−6〉s+〈4,−1,0〉
intersect. If they do, find the point of intersection.
Determine whether the lines
L1:→r(t)=〈−2,−1,3〉t+〈−5,−3,−1〉 and
L2:→p(s)=〈4,2,−6〉s+〈4,−1,0〉
intersect. If they do, find the point of intersection.
Determine the interval(s) where r(t)=<
t-1/((t^2) -1), 2e^3t , In(t+5) > is continuous.
And
Both r1(t)...
Determine the interval(s) where r(t)=<
t-1/((t^2) -1), 2e^3t , In(t+5) > is continuous.
And
Both r1(t) = < t2,
t4 > and r2(t)
= < t4, t8 > map out the same half
parabolic graph.
Notice that both r1(1) = < 1, 1
> and r2(1) = < 1, 1
>.
However, r'1(1) = < 2, 4 >
and r'2(1) = < 4, 8
>.
Explain why the difference is logical and quantify the
difference at t=1.
Determine the interval(s) where r(t)=<t −...
Find the point of intersection of the two lines l1:x⃗
=〈8,6,−16〉+t〈−1,−5,−1〉l1:x→=〈8,6,−16〉+t〈−1,−5,−1〉 and l2:x⃗
=〈21,1,−43〉+t〈3,1,−5〉l2:x→=〈21,1,−43〉+t〈3,1,−5〉
Intersection point:
Find the point of intersection of the two lines l1:x⃗
=〈8,6,−16〉+t〈−1,−5,−1〉l1:x→=〈8,6,−16〉+t〈−1,−5,−1〉 and l2:x⃗
=〈21,1,−43〉+t〈3,1,−5〉l2:x→=〈21,1,−43〉+t〈3,1,−5〉
Intersection point:
Determine whether the lines x = [3−t, 2+t, 8+2t] and x = [2+2s,
−2+3s, −2+ 8s]...
Determine whether the lines x = [3−t, 2+t, 8+2t] and x = [2+2s,
−2+3s, −2+ 8s] intersect and if so, find the point of
intersection.
Assessment
Identify the Variables!
In rotational kinematics - the variables are:
t = time, which is...
Assessment
Identify the Variables!
In rotational kinematics - the variables are:
t = time, which is measured in s (for seconds)
θ = angle = what angle did the object turn thru, usually
measured radians
ωO = initial angular velocity = the rotational speed
of the object at the beginning of the problem, which is measured in
rad/s
ω = final angular velocity = the rotational speed of the object
at the end of the problem, which is measured in...
3. The parametric curve ~r1(t) = 4t~i + (2t − 2)~j + (6t 2 −
7)~k...
3. The parametric curve ~r1(t) = 4t~i + (2t − 2)~j + (6t 2 −
7)~k is given.
(a) Find a parametric equation of the tangent line at the point
(4, 0, −1)
(b) Find points on the curve at which the tangent lines are
perpendicular to the line x = z, y = 0
(c) Show that the curve is at the intersection between a plane
and a cylinder