Analytic Geometry Answers

if u=(2,-3,4) & v=(-1,2,0)& w=(5,-1,2) find the angle b/n (u-2v) & (u+2w)

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.

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