Vector Components and Magnitude

What is the initial point of the given vector?

• (0, 0)

• (1, 1)

• (-4, 2)

• (2, -4)

What is the x-component of the given vector?

• 4

• 0

• -4

• 2

How do you calculate the magnitude of a vector?

• Add the components

• Multiply the components

• Divide the components

• Square root of the sum of squares of components

What is the magnitude of the given vector?

• 2√5

• 5

• √20

• 10

How is the unit vector derived from the given vector?

• By multiplying the vector by its magnitude

• By adding 1 to each component

• By dividing the vector by its magnitude

• By subtracting 1 from each component

What is the simplified x-component of the unit vector?

• 2/√5

• -4/√5

• -2/√5

• 4/√5

What is the simplified y-component of the unit vector?

• 2/√5

• 1/√5

• -1/√5

• -2/√5

What is the process of rationalizing a denominator?

• Subtracting the numerator from the denominator

• Dividing the numerator by the denominator

• Multiplying by the square root of the denominator over itself

• Adding the numerator and denominator

What is the rationalized x-component of the unit vector?

• -4√5/5

• 4√5/5

• -2√5/5

• 2√5/5

What is the rationalized y-component of the unit vector?

• -2√5/5

• -√5/5

• 2√5/5

• √5/5