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A test program computes a× b for a = i + 2 j + 3 k and… | StemPy Lab
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A test program computes a× b for a = i + 2 j + 3 k and b = 2 i + 4 j + k₀ k, and the output is the zero vector. Which value of the number k₀ was entered?
Mathematics
Medium
High School (11–12)
Vectors and Three-Dimensional Geometry › Vector Algebra
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A test program computes
a
⃗
×
b
⃗
\vec a\times\vec b
a
×
b
for
a
⃗
=
i
^
+
2
j
^
+
3
k
^
\vec a = \hat i + 2\hat j + 3\hat k
a
=
i
^
+
2
j
^
+
3
k
^
and
b
⃗
=
2
i
^
+
4
j
^
+
k
0
k
^
\vec b = 2\hat i + 4\hat j + k_0\hat k
b
=
2
i
^
+
4
j
^
+
k
0
k
^
, and the output is the zero vector. Which value of the number
k
0
k_0
k
0
was entered?
12
12
12
6
6
6
5
5
5
3
3
3
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