Transcript Put that in the Form of a Question, Please!”

Jeopardy!
for the Classroom
Vectors
The Dot
Product
Vectors in
Space
The Cross
Product
Mixed
Bag
C&V
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Given v
and w
graph v-w.
,
v-w
v
-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?