Vectors

Bob walks 2 miles north and turns west and walks 2 miles. What is Bob's general displacement?

• 4 miles northeast

• 4 miles northeast

• 3 miles northwest

• 3 miles southeast

Cameron (Cam for short) Per hikes to a campsite where he will spend the evening. He hikes 6.0 km, north and 3.0 km, west. The magnitude of Cam's displacement is ___km

• 3.0

• 4.5

• 6.7

• 45

What is the magnitude of the resultant vector, r?

• 3

• 4

• 5

• 7

If vector A has an y component of 12 units and a x component of 7 units, which would allow you to solve for the MAGNITUDE of vector A?

• $\sqrt{12^2-7^2}$

• $\sqrt{12^2+7^2}$
  

• $\tan^{-1}\left(\frac{12}{7}\right)$
  

• $\tan^{-1}\left(\frac{7}{12}\right)$
  

What is the resultant of the two vectors shown above?

• +5

• -5

• +15

• -15

A vector includes ______ and ________.

• direction, magnitude

• magnitude, units

• direction, units

• scalars, scalars

A hiker walks 5 kilometers due north and then 7 kilometers due east. What is the magnitude of the resultant vector?

• 2 km
• 8.6 km
• 12 km
• 12.6 km

Choose the arrow that best represents what the resultant vector would be.

• 
• 
• 
• 
• 

Tags

NGSS.HS-PS2-1

Choose the arrow that best represents what the resultant vector would be.

• 
• 
• 
• 
• 

Tags

NGSS.MS-PS2-1

NGSS.MS-PS2-2

Which of the following describes distance and displacement correctly?

• The blue arrow shows distance and the orange arrows show displacement
• The blue arrow shows displacement and the orange arrows show distance
• Both arrows show distance only
• Both arrows show distance and displacement