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For two vectors a and b it is found that a× b = 3 j + 4… | StemPy Lab
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For two vectors a and b it is found that a× b = 3 j + 4 k. What is the area of the triangle with the sides a and b?
Mathematics
Medium
High School (11–12)
Vectors and Three-Dimensional Geometry › Vector Algebra
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For two vectors
a
⃗
\vec a
a
and
b
⃗
\vec b
b
it is found that
a
⃗
×
b
⃗
=
3
j
^
+
4
k
^
\vec a\times\vec b = 3\hat j + 4\hat k
a
×
b
=
3
j
^
+
4
k
^
. What is the area of the triangle with the sides
a
⃗
\vec a
a
and
b
⃗
\vec b
b
?
5
2
\dfrac{5}{2}
2
5
7
2
\dfrac{7}{2}
2
7
5
5
5
1
2
\dfrac{1}{2}
2
1
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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? →
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