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The two links of a small robot arm point along the… | StemPy Lab
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The two links of a small robot arm point along the directions i + 2 k and 3 j + k. The controller needs the vector product of the first direction with the second. Which vector is it?
Mathematics
Easy
High School (11–12)
Vectors and Three-Dimensional Geometry › Vector Algebra
A-Level
IB
Created by
StemPy Lab
The two links of a small robot arm point along the directions
i
^
+
2
k
^
\hat i + 2\hat k
i
^
+
2
k
^
and
3
j
^
+
k
^
3\hat j + \hat k
3
j
^
+
k
^
. The controller needs the vector product of the first direction with the second. Which vector is it?
6
i
^
+
j
^
−
3
k
^
6\hat i + \hat j - 3\hat k
6
i
^
+
j
^
−
3
k
^
−
6
i
^
−
j
^
−
3
k
^
-6\hat i - \hat j - 3\hat k
−
6
i
^
−
j
^
−
3
k
^
−
6
i
^
+
j
^
+
3
k
^
-6\hat i + \hat j + 3\hat k
−
6
i
^
+
j
^
+
3
k
^
−
6
i
^
−
j
^
+
3
k
^
-6\hat i - \hat j + 3\hat k
−
6
i
^
−
j
^
+
3
k
^
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