For the following exercises, determine whether the statement is true or false. Justify the answer with a proof or a counterexample. 424. For vectors a and b and any given scalar c , c ( a × b ) = ( c a ) × b .
For the following exercises, determine whether the statement is true or false. Justify the answer with a proof or a counterexample. 424. For vectors a and b and any given scalar c , c ( a × b ) = ( c a ) × b .
For the following exercises, determine whether the statement is true or false. Justify the answer with a proof or a counterexample.
424. For vectors
a
and
b
and any given scalar
c
,
c
(
a
×
b
)
=
(
c
a
)
×
b
.
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.