The Dot Product
The dot product of vectors v := <3, 15> and b := <-20, 4> provides this scalar.
What is 0?
How two non-zero vectors with a cross product of zero must be related
What is parallel?
The acute angle between the planes x + y + z = 1 and x - 2y + 3z = 1 rounded to the nearest whole degree
What is 72˚?
This term describes the smaller vector that is "shaded" by a perpendicular line dropped from another vector onto a longer vector.
What is a projection?
This rain is going to soak all of you when you start college.
What is tuition (학비)?
A dot product of zero proves that vectors can be described by this "right"eous term.
What is orthogonal?
This constant "c" will create a unit vector as the cross-product of
v := <0, 5, 0> and b := <c, 0, 0>.
What is 1/5 or -1/5 ?
(Can have either or both for credit)
The exact distance between the planes 10x + 2y - 2z = 5 and 5x + y - z = 1.
What is √(3) / 6 ?
The smallest value of the direction angles for the vector < 1, 2, 3 > rounded to the nearest whole degree
What is 37˚ ?
This Korean fruit is so delicious that BIGBANG even sang a pretty decent song about it.
What is a pear (배배)?
The dot product of a vector and the cross-product of 2 other vectors gives the volume of this 3-D shape.
What is a parallelepiped?
The area of the parallelogram defined by the vectors <1, 2, 3> and <3, -3, 3> will contain this many square units.
What is sqrt(342) (or ~18.5)?
The distance between the lines with equations
L1: x = 1 + t, y = -2 + 3t, z = 4 - t
L2: x = 2s, y = 3 + s, z = -3 + 4s
rounded to 2 decimal places
What is 0.53 ?
The speed (in mph rounded to one decimal place) and direction (in degrees measured from the positive x-axis and rounded to the nearest whole number) of a woman who walks due west on the deck of a ship at 3 mph if the ship is moving due north at a speed of 22 mph.
What are 22.2 mph and 98˚ ?
This is the family member who will always have the most information.
What is a wife?
What is a scalar?
The parallelepiped defined by a<0, 0, 0>, v<1, 2, 3>, and w<3, -3, 3> will contain this many cubic units of volume.
What is 0?
The equation of a plane that contains points (2, 4, -1) and (1, 3, 0) and is perpendicular to the plane with equation 2x + 3y + 4z = 12.
What is 7x - 6y + z = -11?
The magnitudes of the tensions on two cables (rounded to the nearest tenth) from which hangs a 100 pound weight. The angles of the cables measured with the positive x-axis are 130˚ and 32˚ .
What are 85.6 pounds and 64.9 pounds ?
This is the most popular sport among farmers.
What is basketball (농구)?
Negative dot products, such as that between <-1, 2> and <5, 2>, are associated with this type of "insensitive" angle.
What is an obtuse angle?
What is sine?
Find the point at which the line containing the points (2, 4, -3) and (3, -1, 1) intersects the xy-plane.
What is (11/4, 1/4, 0)?
The equation of the sphere that has a diameter with endpoints (5, 4, 3) and (1, 6, -9).
What is (x - 3)2 + (y - 5)2 + (z + 3)2 = 41 ?
This type of tea is always served "differently."
What is chai (차이)?