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What's the formula to calculate the angle of a vector using its components?
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The angle can be calculated using the inverse tangent formula: theta = arctan(F_y / F_x).
What does the Pythagorean Theorem help you find in vector analysis?
The Pythagorean Theorem helps find the magnitude (hypotenuse) of the resultant vector.
Give two examples of scalar quantities.
Mass and Temperature.
Give the formula for finding the y-component of a force vector.
The y-component can be found using F_y = F * sin(theta).
What is a vector quantity?
A vector quantity has both magnitude and direction.
How can you describe a vector graphically?
A vector can be described graphically using the x-axis and y-axis, indicating both its magnitude and direction.
Describe how the magnitude and direction of a vector are typically represented.
Magnitude is the length of the vector, and direction is the angle relative to a reference axis (e.g., north, east).
Which quadrant features a vector with a positive x component and a negative y component?
Quadrant 4.
What are x and y components of a vector?
X and Y components represent the projections of a vector along the x-axis and y-axis respectively.
If a vector is in Quadrant 2, what are the signs of its components?
F_x is negative, and F_y is positive.
Describe the difference between distance and displacement.
Distance is a scalar quantity and measures how much ground is covered; Displacement is a vector quantity and measures how far out of place an object is, along with its direction.
Why is volume classified as a scalar quantity?
Volume is classified as a scalar quantity because it has only magnitude and no direction.
Explain the difference between speed and velocity.
Speed is a scalar quantity and measures how fast something is moving; Velocity is a vector quantity and includes both speed and direction.
What quantity can be described as 90 degrees Fahrenheit?
Temperature, which is a scalar quantity.
Define acceleration and give an example of its vector nature.
Acceleration is a vector quantity; e.g., Car accelerates towards the east.
Why is mass considered a scalar quantity?
Mass is considered a scalar quantity because it has only magnitude and no direction.
What is a scalar quantity?
A scalar quantity has magnitude only.
Is force a scalar or vector quantity? Provide an example.
Force is a vector quantity, e.g., 50 newtons east.
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