Vector: Composition & Resolution

Three vectors are added following the rules of vector addition. A fourth vector is drawn from the tail of the first vector to the head of the last vector. This fourth vector is referred to as ____.

• the equilibrant

• the hypotenuse

• the resultant

• the mistake

The order in which vectors is added will effect the end result.

• True

• False

Tags

NGSS.HS-PS2-2

NGSS.HS-PS3-5

Vector A is directed northward and vector B is directed eastward. Which of the following vector addition diagrams best represent the addition of vectors A and B and the subsequent resultant?

• A

• B

• C

• D

• E

When adding vector B to vector A geometrically (or graphically) using the head to tail method, the resultant is drawn from ____ to the ____.

• head of A, tail of B

• tail of A, head of B

• head of B, tail of A

• tail of B, head of A

The vector sum (magnitude only) of 25.0 m, north + 18.0 m, East is ___ m.

• 43.0

• 6.0

• 30.8

• 949

An airplane moves at 141 km/h toward the northeast (45 degrees). What is its component velocity in the northward direction?

• 41 km/h

• 100 km/h

• 110 km/h

• 141 km/h

In the Vector Addition Lab, Anna starts at the classroom door and walks:

2.0 meters, West

12.0 meters, North,

31.0 meters, West,

8.0 meters, South

3.0 meters, East

What is the magnitude and direction of her N/S component?

• 20.0 meters, North

• 20.0 meters, South

• 4.0 meters, North

• 4.0 meters, South

In the Vector Addition Lab, Anna starts at the classroom door and walks:

2.0 meters, West

12.0 meters, North,

31.0 meters, West,

8.0 meters, South

3.0 meters, East

What is the magnitude and direction of her E/W component?

• 33.0 meters, West

• 30.0 meters, West

• 33.0 meters, East

• 26.0 meters, West

In the Vector Addition Lab, Anna starts at the classroom door and walks:

2.0 meters, West

12.0 meters, North,

31.0 meters, West,

8.0 meters, South

3.0 meters, East

What is the magnitude of her total displacement?

• 26.0 meters

• 34.0 meters

• 30.3 meters

• 916 meters

In the Vector Addition Lab, Anna starts at the classroom door and walks:

2.0 meters, West

12.0 meters, North,

31.0 meters, West,

8.0 meters, South

3.0 meters, East

What is the direction of her total displacement?

• 82.4 degrees, W of N

• 7.6 degrees, W of N

• 82.4 degrees, N of W

• 7.6 degrees, N of W