The x component of a vector is 8.7 units, and its y component is 06.5 units. What is the magnitude?
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Answer:
The magnitude of the resultant is
≈
11 units
.
Explanation:
Since one vector is on the x-axis and the other is on the y-axis, we can use a right triangle and the Pythagorean theorem to determine the magnitude of the resultant, which is the hypotenuse.
Pythagorean Theorem
c
2
=
a
2
+
b
2
, where
a
=
8.7
and
b
=
6.5
c
2
=
(
8.7
2
+
6.5
2
)
Take the square root of both sides.
c
=
√
8.7
2
+
6.5
2
c
=
10.8
≈
11 units
(rounded to two significant figures)
sandhuSaaB1234:
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