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A vector is a
directed line segment of
(a) a given magnitude (or length) and
(b) direction.
You can change the magnitude and direction of AB
by pulling on its head or tail.
EQUAL VECTORS (AB
= CD
)
Two vectors are equal if
(1) they have line segments of the same magnitude and
(2) their line segments are pointed in the same direction.
NEGATIVE VECTORS (-AB
= XY
)
Drag point X and place it on top of point B. Observe that the length of XY
and AB is the same. What's
the only difference between the two?
SCALAR MULTIPLE OF A VECTOR (
EF = kAB
)
This is basically a vector which has the same direction as another
vector but has a magnitude of a certain proportion given by the scalar (or
number, k). Thus they are not equal vectors but are scalar multiples of one another.
When can EF be exactly equal to AB ?
What's the deal with COLUMN VECTORS?
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