Concepts in Vectors Quiz

What are the components of a vector?

• Area and perimeter

• Length and speed

• Width and height

• Magnitude and direction

Tags

vector

How do you find the direction of a vector?

• Use the formula: direction = y - x

• Use the formula: direction = sin(y/x)

• Use the formula: direction = sqrt(y^2 + x^2)

• Use the formula: direction = arctan(y/x)

Tags

vector

If a vector has components (3, 4), what is its magnitude?

• 7

• 5

• 2

• 10

Tags

vector

If a vector has magnitude 5 and direction 60 degrees, what are its components?

• The components are 4 and 2

• The components are 1 and 5

• The components are 2.5 and 4.33

• The components are 3 and 4

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vector

What is the formula to find the magnitude of a vector?

• magnitude = x * y

• magnitude = sqrt(x^2 + y^2)

• magnitude = x + y

• magnitude = x - y

Tags

vector

How do you find the direction of a vector given its components?

• Use the arctan function to find the angle between the vector and the x-axis.

• Use the tangent function to find the angle between the vector and the y-axis.

• Use the sine function to find the angle between the vector and the y-axis.

• Use the cosine function to find the angle between the vector and the x-axis.

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vector

If vector A has components (2, 5) and vector B has components (3, -1), what are the components of vector A + B?

• (2, 4)

• (6, 3)

• (4, 6)

• (5, 4)

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vector

If vector A has components (4, -3) and vector B has components (-2, 7), what are the components of vector A - B?

• (2, -4)

• (5, -5)

• (10, -7)

• (6, -10)

Tags

vector

If vector A has components (6, 8), what are the components of -2A?

• (12, 16)

• (-12, -16)

• (3, 4)

• (-6, -8)

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vector

If vector A has components (3, 4) and vector B has components (5, 2), what is the dot product of A and B?

• 7

• 15

• 10

• 23

Tags

vector