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A drone has the velocity i - 3 j + 2 k metres per… | StemPy Lab
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A drone has the velocity i - 3 j + 2 k metres per second, and a wind blows along the direction 2 i + 2 j - k. How much of the drone's velocity lies along the wind direction? Give the signed value of the component, in metres per second.
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High School (11–12)
Vectors and Three-Dimensional Geometry › Vector Algebra
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A drone has the velocity
i
^
−
3
j
^
+
2
k
^
\hat i - 3\hat j + 2\hat k
i
^
−
3
j
^
+
2
k
^
metres per second, and a wind blows along the direction
2
i
^
+
2
j
^
−
k
^
2\hat i + 2\hat j - \hat k
2
i
^
+
2
j
^
−
k
^
. How much of the drone's velocity lies along the wind direction? Give the signed value of the component, in metres per second.
−
6
m/s
-6\ \text{m/s}
−
6
m/s
−
2
m/s
-2\ \text{m/s}
−
2
m/s
2
m/s
2\ \text{m/s}
2
m/s
−
2
3
m/s
-\dfrac{2}{3}\ \text{m/s}
−
3
2
m/s
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