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Find the equation of the plane through the origin and parallel to the plane 10x+3y+7z=6
Blank 1. Calculate the answer by read surrounding text.
x+ Blank 2. Calculate the answer by read surrounding text.
y+ Blank 3. Calculate the answer by read surrounding text.
z= Blank 4. Calculate the answer by read surrounding text.
Find the parametric equations of the line that is going through the point (6,9,5) and is parallel to the plane 8x+6y+8z=9 and is perpendicular to the line
⟨x,y,z⟩=⟨7,9,4⟩+⟨5,4,6⟩t
x= Blank 1. Calculate the answer by read surrounding text.
+( Blank 2. Calculate the answer by read surrounding text.
)t, y= Blank 3. Calculate the answer by read surrounding text.
+( Blank 4. Calculate the answer by read surrounding text.
)t, z= Blank 5. Calculate the answer by read surrounding text.
+(2) t
The equation of the plane through the points (0,1,8),(1,1,11) and (1,6,0) is:
z= Blank 1. Calculate the answer by read surrounding text.
+ Blank 2. Calculate the answer by read surrounding text.
x+ Blank 3. Calculate the answer by read surrounding text.
y.
Determineif the 2 lines are parallel, skew or intersecting:
⟨x,y,z⟩=⟨4,2,3⟩+⟨3,3,2⟩t and
⟨x,y,z⟩=⟨-4,10,3 ⟩+⟨ 20,4,2⟩s
*If parallel (type the number 1).
*If intersecting (type the number 2).
*If skew (type the number 3).
Determine the point of intersecting of the 2 lines
⟨x,y,z⟩=⟨4,2,4⟩+⟨2,2,1⟩t and
⟨x,y,z⟩=⟨-5,2,-8 ⟩+⟨ 20,8,20⟩s
( Blank 1. Calculate the answer by read surrounding text.
, Blank 2. Calculate the answer by read surrounding text.
, Blank 3. Calculate the answer by read surrounding text.
)
Determine if the following lines are parallel, skew or intersecting.
⟨x,y,z⟩=⟨2,1,2⟩+⟨3,5,2⟩t and
⟨x,y,z⟩=⟨2,5,2 ⟩+⟨3,3,2⟩s
*If parallel (type the number 1).
*If intersecting (type the number 2).
*If skew (type the number 3).
Determine if the following lines are parallel, skew or intersecting.
⟨x,y,z⟩=⟨3,2,2⟩+⟨4,5,4⟩t and
⟨x,y,z⟩=⟨5,2,1⟩+⟨ 20,25,20 ⟩t
*If parallel (type the number 1).
*If intersecting (type the number 2).
*If skew (type the number 3).
Blank 1. Calculate the answer by read surrounding text.
The vector that has the same direction as ⟨3,4,3⟩ but has length of 4 is ⟨ Blank 1. Calculate the answer by read surrounding text.
, Blank 2. Calculate the answer by read surrounding text.
, Blank 3. Calculate the answer by read surrounding text.
⟩
The equation x2−8 x+y2− 14 y+z2+ 16 z= -113 represents a sphere with radius Blank 1. Calculate the answer by read surrounding text.
and center ( Blank 2. Calculate the answer by read surrounding text.
, Blank 3. Calculate the answer by read surrounding text.
, Blank 4. Calculate the answer by read surrounding text.
).
Question 3 of 12 3 Points
Fit the equation with the surface in R3
A. Plane parallel to the xz-plane.
B. Plane parallel to the yz-plane.
C. A circle with radius 2.
D. Circular cylinder with radius 2.
E. Sphere with radius 2 and center (3,5,−1)
F. Sphere with radius 2 and center (−3,−5,−1)
select
1. x2+y2=4
select
2. x2+y2=4,z=4
select
3. 6x+x2−10y+y2+2z+z2=−31
select
4. 6x+x2+10y+y2+2z+z2=−31
select
5. x=3
select
6. y=3
#340153 on Dec 2023