Lesson 2: Vectors Flashcards

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1
Q

Vector

A

A quantity that has a numerical size, also known as magnitude, and a direction

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2
Q

Scalar

A

A quantity that has a numerical size, also known as magnitude, but no direction

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3
Q

Horizontal (or x) - component

A

The vector component given by:

Ax = A*cos(θ)

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4
Q

Vertical (or y) - component

A

The vector component given by:

Ay = A*sin(θ)

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5
Q

Magnitude of a vector

A

The length/size of a vector, written as the absolute value of the vector

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6
Q

Pythagorean theorem

A
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7
Q

What two characteristics are necessary to define a vector?

A

Magnitude and direction

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8
Q

What is the magnitude of the velocity vector pointing directly down at 5 m/s?

A

5 m/s

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9
Q

What is the resultant vector in Cartesian Coordinates for a trip that I took where I traveled 5 km south and then 2 km east?

A

(-5i + 2j) km

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10
Q

What is the x component of velocity for a ball thrown upwards at 4 m/s at 30º with respect to the horizontal?

A

3.4 m/s

vx = 4*cos (30º)
= 4 (.86)
= 3.4 m/s

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11
Q

What is the y component of velocity for a ball thrown upwards at 4 m/s at 30º with respect to the horizontal?

A

2 m/s

vy = 4*sin (30º)
= 4 (0.5)
= 2 m/s

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12
Q

What is the sum of the vectors in Cartesian Coordinates?

A = (11i + 13j - 2k) m
B = (i + 13j + k) m

A

(12i + 26j - k) m

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13
Q

What are the sum of the vectors in Polar Coordinates?

A = (12i - 5j) km
B = (2i - 12j) km

A

(22 km, 309.5º)

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