3D Coordinates
Vector Basics
Dot Products
Cross Products
Month 8
100

This is the octant that (-5, 2, -1) lives in.

What is octant VI?

100

This is the magnitude of the resultant of   \vec{t}=<2,-3,8> and  \vec{s}=<-3,5,1> 

What is  \sqrt{54} ?

100

This is the dot product of  <5,-3,8>  and  <-2,1,10> .

What is 67? (Stop it!)

100

This is  <-3,5,2>  cross  <-3,-5,2> .

What is  <20,0,30> ?

100

This is the day the Mustard Meme died.

What is August 2nd?

200

This is the octant that (-5,0,2) lives in.

What is no octant, because it lives in the xz-plane?

200

These are the directional angles (to AP precision and in radians) of  \vec{u}=3\vec{i}+8\vec{j}-\vec{k} .

What are 1.215, 0.376, and 1.687?

200

This is the angle between  <-3,5,2>  and  <-1,2,5> . (AP precision & degrees, please.)

What is 47.062 degrees?

200

This is  <-3,-5,2>  cross  <-3,5,2> .

What is  <-20,0,-30> ?

200

This is the day of the Swift-Kelce engagement.

What is August 26th?

300

This is the exact distance from (-3, 2, 1) to (8, -5,-1).

What is  \sqrt{174} ?

300

This is the angle, relative to the positive x-axis, formed by  2(3\vec{i}-6\vec{j})+3(\vec{i}-15\vec{j}) , to AP precision & in degrees.

What is 98.973 degrees?

300

This is the angular relationship between  <-3,5,7> and  <2,4,-2> .

What is orthogonal?

300

This is how you know two vectors are parallel after having taken the cross product.

What is you got the zero vector?

300
Fogdall's brother-in-law's birthday is the answer to the 200 point question. This is how old he became this year.

What is 40?

400

This is the midpoint of (2, 10, 8) and (-1, 10, -7)?

What is (0.5, 10, 0.5)?
400

This is the product of a scalar and a vector.

What is a vector?

400

This is the projection of  \vec{u}=<2,1,5>  onto  \vec{v}=<1,2,10> . Write answers in reduced fraction form.

What is  <\frac{18}{35},\frac{36}{35},\frac{36}{7}> ?

400

This is the volume of the parallelepiped with adjacent edges expressed as  \vec{PQ}=<3,5,-2>, \vec{PR}=<2,-5,3> , and  \vec{PS}=<-2,5,7> .

What is 250?

400
He is its namesake.

Who is Augustus Caesar?

500

This is the exact radius of the sphere given here:

x^2-10x+y^2+2y+z^2=3

What is  \sqrt{29} ?

500

An airplane flying due north at 500 mph is in an airmass moving due southwest at 85 mph. This is its ground speed and bearing (degrees clockwise from due north).

What is 443.983 mph at 352.220 degrees?

500

This is the orthogonal projection of  \vec{u}=<2,1,5>  onto  \vec{v}=<1,2,10> . Write answers in reduced fraction form.

What is  <\frac{17}{35},\frac{34}{35},\frac{34}{7}> ?

500

This is the reason that the triple scalar product is zero.

What is the vectors are coplanar?

500

August 19th is National Aviation Day, in honor of this pioneer's birthday.

Who is Orville Wright?

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