[ T ] A 1500 − lb boat is parked on a ramp that makes an angle of 30° with the horizontal. The boat’s weight vector points downward and is a sum of two vectors : a horizontal vector v 1 that is parallel to the ramp and a vertical vector v 2 that is perpendicular to the inclined surface. The magnitudes of vectors v 1 and v 2 are the horizontal and vertical component, respectively, of the boat’s weight vector. Find the magnitudes of v 1 and v 2 . (Round to the nearest integer.)
[ T ] A 1500 − lb boat is parked on a ramp that makes an angle of 30° with the horizontal. The boat’s weight vector points downward and is a sum of two vectors : a horizontal vector v 1 that is parallel to the ramp and a vertical vector v 2 that is perpendicular to the inclined surface. The magnitudes of vectors v 1 and v 2 are the horizontal and vertical component, respectively, of the boat’s weight vector. Find the magnitudes of v 1 and v 2 . (Round to the nearest integer.)
[
T
]
A
1500
−
lb
boat is parked on a ramp that makes an angle of
30°
with the horizontal. The boat’s weight vector points downward and is a sum of two vectors: a horizontal vector
v
1
that is parallel to the ramp and a vertical vector
v
2
that is perpendicular to the inclined surface. The magnitudes of vectors
v
1
and
v
2
are the horizontal and vertical component, respectively, of the
boat’s weight vector. Find the magnitudes of
v
1
and
v
2
.
(Round to the nearest integer.)
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.
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