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Physics
Physics
Problem
Show that if a particle moves from point
A
A
A
with position vector
r
1
=
x
1
i
^
+
y
1
j
^
\mathbf r_1 = x_1\,\hat{\mathbf i} + y_1\,\hat{\mathbf j}
r
1
=
x
1
i
^
+
y
1
j
^
to point
B
B
B
with position vector
r
2
=
x
2
i
^
+
y
2
j
^
\mathbf r_2 = x_2\,\hat{\mathbf i} + y_2\,\hat{\mathbf j}
r
2
=
x
2
i
^
+
y
2
j
^
, then the magnitude of its displacement is given by
∣
Δ
r
∣
=
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
.
|\Delta\mathbf r| = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.
∣Δ
r
∣
=
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
.
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