Magnitude and Direction of Vectors

A vector is a mathematical structure that has both _______ and _______.

• direction, magnitude

• scope, sequence

• meat, potatoes

• scalar, vector

Find the magnitude of the vector <10, -8>

• 2

• 12.81

• 6

• 18

Find the magnitude of the vector <2, -3>.

• √11

• 13

• √-4

• √13

Determine the direction and magnitude of the vector 〈7,18〉

• Direction 21.3°
  Magnitude 19.3

• Direction 68.7°
  Magnitude 19.3

• Direction 21.3°
  Magnitude 373

• Direction 68.7°
  Magnitude 373

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

• 4

• 5

• 3

• square root of 5

The picture shows the flight vector for a helicopter. What is the magnitude and direction of the vector?

• 38.6 mi; 31.2^o east of north

• 26.2 mi; 31.2^o north of east

• 38.6 mi; 31.2^o north of east

• 26.2 mi; 58.8^o north of east

Find the magnitude.

• -10

• -8

• 6

• 10

Determine the direction and magnitude of the vector 〈-11,5〉

• Direction 24.4°
  Vertical 12.1

• Direction65.6°
  Magnitude 12.1

• Direction -24.4°
  Magnitude 12.1

• Direction 155.6°
  Magnitude 12.1

A vector is a ray with both ____________ and _____________.

• Wings and halos

• Space and time

• Direction and magnitude

• Radicals and exponents

A vector is having------

• magnitude only

• direction only

• both magnitude and direction

• none