
Precalc 6.1-6.3 review
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the directional angle in standard position for a vector pointing northwest?
Back
The directional angle in standard position for a vector pointing northwest is 315°.
2.
FLASHCARD QUESTION
Front
How do you calculate the resultant speed of an airplane given its airspeed and wind velocity?
Back
Use the formula: Resultant Speed = \sqrt{(V_{plane} \cos(\theta_{plane}) + V_{wind} \cos(\theta_{wind}))^2 + (V_{plane} \sin(\theta_{plane}) + V_{wind} \sin(\theta_{wind}))^2}.
3.
FLASHCARD QUESTION
Front
What is the formula for finding the combined force of two vectors given their magnitudes and angles?
Back
Use the formula: \( F_{combined} = \sqrt{F_1^2 + F_2^2 + 2F_1F_2 \cos(\theta)} \) where \( \theta \) is the angle between the two forces.
4.
FLASHCARD QUESTION
Front
Define orthogonal vectors.
Back
Orthogonal vectors are vectors that are perpendicular to each other, meaning their dot product is zero.
5.
FLASHCARD QUESTION
Front
What are parametric equations in the context of projectile motion?
Back
Parametric equations describe the motion of an object in terms of time, typically expressed as x(t) and y(t) for horizontal and vertical positions.
6.
FLASHCARD QUESTION
Front
How do you determine if two vectors are parallel?
Back
Two vectors are parallel if they have the same or opposite direction, which can be determined if one vector is a scalar multiple of the other.
7.
FLASHCARD QUESTION
Front
What is the significance of the angle in standard position?
Back
The angle in standard position is measured from the positive x-axis counterclockwise and is used to define the direction of a vector.
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