Vector and vector 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

A vector includes ______ and ________.

• direction, magnitude

• magnitude, units

• direction, units

• scalars, scalars

Which of the following describes the vector above?

• 45 cm

• 45 cm at 30 degrees North of East

• 45 cm at 30 degrees East of North

• 45 cm North East

A resultant vector is

• equal to the sum of one vector.

• equal to the sum of two or more vectors.

• equal to the difference of one vector.

The vector diagram above represents the horizontal component, F_H, and the vertical component, F_V, of a 24-newton force acting at 35⁰ above the horizontal. What are the magnitudes of the horizontal and vertical components?

• F_H = 20 N and F_V = 14 N

• F_H = 4.9 N and F_V = 3.5 N

• F_H = 3.5 N and F_V = 4.9 N

• F_H = 14 N and F_V = 20 N

Tags

NGSS.HS-PS2-1

How do you combine vectors if they are in opposite directions?

• Add

• Subtract (or add a negative)

• Pythagorean Theorem

• Use trigonometry

How do you determine the horizontal component of a 30 m/s vector at 110 degrees?

• 30 sin 110
•  30 cos 110
• 110 sin 30
• 110 cos 30

What is the resultant force?

• 10 N

• 30 N

• 20 N

• 40 N

Tags

NGSS.HS-PS2-1

What is the resultant force?

• 30 N

• 60 N

• 0 N

• 90 N

Tags

NGSS.HS-PS2-1

Examples of vector quantity are __________________ (You can tick more than one answer)

• displacement

• speed

• velocity

• acceleration