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A quarry cuts a leaning block with the three edges a =… | StemPy Lab
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A quarry cuts a leaning block with the three edges a = i, b = i + 2 j and c = 3 i + j + 5 k, in metres. What is the volume of the block?
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High School (11–12)
Vectors and Three-Dimensional Geometry › Vector Algebra
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A quarry cuts a leaning block with the three edges
a
⃗
=
i
^
\vec a = \hat i
a
=
i
^
,
b
⃗
=
i
^
+
2
j
^
\vec b = \hat i + 2\hat j
b
=
i
^
+
2
j
^
and
c
⃗
=
3
i
^
+
j
^
+
5
k
^
\vec c = 3\hat i + \hat j + 5\hat k
c
=
3
i
^
+
j
^
+
5
k
^
, in metres. What is the volume of the block?
5
3
m
3
\dfrac{5}{3}\ \text{m}^3
3
5
m
3
5
m
3
5\ \text{m}^3
5
m
3
10
m
3
10\ \text{m}^3
10
m
3
−
10
m
3
-10\ \text{m}^3
−
10
m
3
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