Finding Components of Vectors
Precalculus · Flashcards
PRECALCULUS · FLASHCARDS
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QUESTION
What operation gives vector components from initial point
P
P
P
to terminal point
Q
Q
Q
in the plane?
QUESTION
What is the component form of the vector from
P
(
−
10
,
4
)
P(-10,4)
P
(
−
10
,
4
)
to
Q
(
−
3
,
12
)
Q(-3,12)
Q
(
−
3
,
12
)
?
QUESTION
State the formula for the component form of the vector from
P
(
x
1
,
y
1
)
P(x_1,y_1)
P
(
x
1
,
y
1
)
to
Q
(
x
2
,
y
2
)
Q(x_2,y_2)
Q
(
x
2
,
y
2
)
.
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ANSWER
⟨
x
2
−
x
1
,
y
2
−
y
1
⟩
\langle x_2-x_1,\,y_2-y_1\rangle
⟨
x
2
−
x
1
,
y
2
−
y
1
⟩
. Terminal minus initial gives the displacement vector.
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