In Exercises 13-18 , there are at most three-dimensional vectors u that satisfy the given conditions. Determine these vector(s) u . u ⋅ ( i + j ) = 2 , u ⋅ ( j + k ) = 4 u ⋅ k = 1
In Exercises 13-18 , there are at most three-dimensional vectors u that satisfy the given conditions. Determine these vector(s) u . u ⋅ ( i + j ) = 2 , u ⋅ ( j + k ) = 4 u ⋅ k = 1
Solution Summary: The author calculates the dot product of the two vectors u=u_1i+
In Exercises
13-18
, there are at most three-dimensional vectors
u
that satisfy the given conditions. Determine these vector(s)
u
.
u
⋅
(
i
+
j
)
=
2
,
u
⋅
(
j
+
k
)
=
4
u
⋅
k
=
1
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.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.