Jeopardy for the Classroom

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Jeopardy!for the Classroom
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(No Transcript)
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Given v and w , graph v-w.
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v
v - w
-w
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The vector whose initial point is (-3,2) and
terminal point is (-6,5)
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What is v -3i 3j?
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v given v -4i 5j
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What is v41?
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The unit vector having the same direction as v
12i - 5j
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What is v lt12/13, -5/13gt ?
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Given v 2i j and w i j, find 2v 3w.
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What is 2v5?
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Given v 2i 2j and w i 2j, find the dot
product.
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What is 6?
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Given vw - 12,v 2, and w 6,v and
w are parallel, orthogonal, or neither.
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What is parallel?
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Given v 2i j and w i 2j, find the angle
between v and w.
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What is 36.87?
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Given -3v w, v and w are parallel, orthogonal,
or neither.
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What is parallel?
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Given v i k and w 2j 3k, find vw.
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What is -3?
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The exact distance between (-2, 2, 3) and (4, 0,
-2)
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What is v65?
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The vector whose initial point is (-1, 4, -2) and
terminal point is (6, 2, 2)
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What is 7i 2j 4k?
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Given v -2i 3j - 2k and w 3i 5j 2k,
find v w.
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What is v105?
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The unit vector having the same direction as v
3i 6j 2k
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What is v 3/7i 6/7j 2/7k?
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Given v - i 3j 2k and, find the direction
angle a.
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What is 105.5?
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Given v -4i 3j 5k, find v x v.
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What is 0?
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Given v 2i - 3j and w 3j k, find v x w.
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What is -3i 2j 6k?
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Given v 2i - 3j and w 3j k, find w x v.
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What is 3i 2j 6k?
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Given u 2i 3j k,v -3i 3j 2k, andw
i j k, find u(v x w).
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What is -19?
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The vector that is orthogonal to v 2i j k
and w i 2j 2k
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What is 5j 5k?
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The position vector form of a vector with a
magnitude of 6 and direction of 120
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What is -3i 3v3j?
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The dot product of two orthogonal vectors
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What is 0?
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Daily Double
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A vector whose magnitude is zero
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What is a zero vector?
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The result of a cross product
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What is a vector?
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Given v - i 3j 2k and w i j k, find
the angle between v and w.
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What 107.98?
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A quantity with magnitude and direction
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What is a vector?
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A vector with a magnitude of one
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What is a unit vector?
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A vector whose initial point is at the origin
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What is a position vector?
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Two vectors with an angle of 90 between them
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What is orthogonal?
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The result of a dot product
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What is a scalar?
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Final Jeopardy!
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Airplanes!
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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.
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What is 504.9 kph at N7.97W?