In each part, use a scalar triple product to determine whether the vectors lie in the same plane. a u = 1, − 2, 1 , v = 3, 0, − 2 , w = 5, − 4, 0 b u = 5i − 2j + k, v = 4i − j + k, w = i − j c u = 4, − 8, 1 , v = 2, 1, − 2 , w = 3, − 4, 12
In each part, use a scalar triple product to determine whether the vectors lie in the same plane. a u = 1, − 2, 1 , v = 3, 0, − 2 , w = 5, − 4, 0 b u = 5i − 2j + k, v = 4i − j + k, w = i − j c u = 4, − 8, 1 , v = 2, 1, − 2 , w = 3, − 4, 12
In each part, use a scalar triple product to determine whether the vectors lie in the same plane.
a
u
=
1,
−
2,
1
,
v
=
3,
0,
−
2
,
w
=
5,
−
4,
0
b
u
=
5i
−
2j
+
k,
v
=
4i
−
j
+
k,
w
=
i
−
j
c
u
=
4,
−
8,
1
,
v
=
2,
1,
−
2
,
w
=
3,
−
4,
12
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Precalculus: Mathematics for Calculus - 6th Edition
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