Jeopardy! for the Classroom. VectorsThe Dot Product Vectors in Space The Cross Product Mixed Bag C &...
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Transcript of Jeopardy! for the Classroom. VectorsThe Dot Product Vectors in Space The Cross Product Mixed Bag C &...
Jeopardy!
for the Classroom
Vectors The Dot Product
Vectors in Space
The Cross Product
Mixed Bag C & V
100 100 100 100 100 100
200 200 200 200 200 200
300 300 300 300 300 300
400 400 400 400 400 400
500 500 500 500 500 500
Given v and w , graph v-w.
-w
vv - w
The vector whose initial point is (-3,2) and
terminal point is (-6,5)
What is v = -3i + 3j?
||v|| given v = -4i + 5j
What is √41?
The unit vector having the same direction as
v = 12i - 5j
What is v = <12/13, -5/13> ?
Given v = 2i – j and w = i – j, find 2||v – 3w||.
What is 2√5?
Given v = 2i + 2j and w = i + 2j, find the
dot product.
What is 6?
Given v·w = - 12,||v|| = 2, and ||w|| = 6,v and w are parallel,
orthogonal, or neither.
What is parallel?
Given v = 2i + j and w = i + 2j, find the
angle between v and w.
What is 36.87°?
Given -3v = w, v and w are parallel, orthogonal,
or neither.
What is parallel?
Given v = i – k and w = 2j + 3k, find v·w.
What is -3?
The exact distance between (-2, 2, 3)
and (4, 0, -2)
What is √65?
The vector whose initial point is (-1, 4, -2) and
terminal point is (6, 2, 2)
What is 7i – 2j + 4k?
Given v = -2i + 3j - 2k and w = 3i – 5j + 2k,
find ||v – w||.
What is √105?
The unit vector having the same direction as
v = 3i – 6j – 2k
What is v = 3/7i – 6/7j – 2/7k?
Given v = - i + 3j + 2k and, find the direction angle α.
What is 105.5°?
Given v = -4i + 3j – 5k, find v x v.
What is 0?
Given v = 2i - 3j and w = 3j + k, find v x w.
What is -3i – 2j + 6k?
Given v = 2i - 3j and w = 3j + k, find w x v.
What is 3i + 2j – 6k?
Given u = 2i – 3j + k,v = -3i + 3j + 2k, and
w = i + j + k, find u·(v x w).
What is -19?
The vector that is orthogonal to v = 2i – j – k
and w = i + 2j +2k
What is – 5j + 5k?
The position vector form of a vector with a
magnitude of 6 and direction of 120°
What is -3i + 3√3j?
The dot product of two orthogonal vectors
What is 0?
Daily Double
A vector whose magnitude is zero
What is a zero vector?
The result of a cross product
What is a vector?
Given v = - i + 3j +2k and w = i – j + k, find the
angle between v and w.
What 107.98°?
A quantity with magnitude and direction
What is a vector?
A vector with a magnitude of one
What is a unit vector?
A vector whose initial point is at the origin
What is a position vector?
Two vectors with an angle of 90° between
them
What is orthogonal?
The result of a dot product
What is a scalar?
Final Jeopardy!
Airplanes!
An airplane has an airspeed of 500 kph
going due north. The wind velocity is a
constant 70 kph from the east. Find the actual
speed and direction of the plane relative to the
ground.
What is 504.9 kph at N7.97°W?
