The i, j, and k component of the “race vector â€� t = 1.2 i + 56 j + 13.1 k denote the distance ( in miles) to swim, bike, and run in a Half Ironman triathelon. Suppose that v 1 , v 2 , and v 3 denote, respectively, the speeds in mi / h of an athlete for each component and that w = v 1 − 1 i + v 2 − 1 j + v 3 − 1 k . What is an interpretation of the dot product t ⋅ w ?
The i, j, and k component of the “race vector â€� t = 1.2 i + 56 j + 13.1 k denote the distance ( in miles) to swim, bike, and run in a Half Ironman triathelon. Suppose that v 1 , v 2 , and v 3 denote, respectively, the speeds in mi / h of an athlete for each component and that w = v 1 − 1 i + v 2 − 1 j + v 3 − 1 k . What is an interpretation of the dot product t ⋅ w ?
The i, j, and k component of the “race vector�
t
=
1.2
i
+
56
j
+
13.1
k
denote the distance ( in miles) to swim, bike, and run in a Half Ironman triathelon. Suppose that
v
1
,
v
2
,
and
v
3
denote, respectively, the speeds
in
mi
/
h
of an athlete for each component and that
w
=
v
1
−
1
i
+
v
2
−
1
j
+
v
3
−
1
k
.
What is an interpretation of the dot product
t
⋅
w
?
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, calculus and related others by exploring similar questions and additional content below.