Magnitude of a Vector

Find the magnitude of the vector <-2, 1>.

• 5

• 2.236

• 1

• 2.646

Find the magnitude of AB if the initial point is (-3, 1) and the terminal point is (3, 9).

• 6

• 8.2

• 10

• 10.4

Find the magnitude of the vector <-4, -6>.

• 7.211

• 52

• 3.162

• 4.472

Find the component form of a vector whose magnitude is 10 and direction is 150°.

• <10, 150>

• <-8.66, 5>

• <6.99 , -7.14>

• 10i + 150j

Find the magnitude.

• -10

• -8

• 6

• 10

Definition: The length of the vector

• Magnitude

• Direction

• Vector Operations

• Dot Product

Find the magnitude.

• 5

• 3

• 25

• -4

Find the magnitude of this vector (each square is 1 unit long)

• 4

• 5

• 3

• square root of 5

Determine the magnitude of the vector 〈7,-2〉

Give an exact answer.

Mathematical Equivalence

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Magnitude of a vector is a fancy way to say...

• length

• direction

• slope

• inverse