Suppose that ▽ f ( 0 , 0 ) = 2 i + 3 2 j . (a) Find a unit vector u such that D u f ( 0 , 0 ) is a maximum. What is this maximum value? (b) Find a unit vector u such that that D u f ( 0 , 0 ) is a maximum. What is this maximum value?
Suppose that ▽ f ( 0 , 0 ) = 2 i + 3 2 j . (a) Find a unit vector u such that D u f ( 0 , 0 ) is a maximum. What is this maximum value? (b) Find a unit vector u such that that D u f ( 0 , 0 ) is a maximum. What is this maximum value?
(a) Find a unit vector u such that
D
u
f
(
0
,
0
)
is a maximum. What is this maximum value?
(b) Find a unit vector u such that that
D
u
f
(
0
,
0
)
is a maximum. What is this maximum value?
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.
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