Vectors and Scalars Practice

Solve the sum:

• 
• 
• 
• 

Tags

NGSS.HS-PS2-1

Imagine you're an explorer in the realm of physics! You come across a mysterious entity known as a vector. Can you tell what two magical properties it possesses?

• It has a sense of direction and a measure of magnitude

• It carries a measure of magnitude and units

• It holds a sense of direction and units

• It's made up of two scalars

Tags

NGSS.HS-PS3-5

Imagine you're a superhero and you have to push a 10 N object. In which direction would you say you're pushing?

• North of West, like you're pushing towards a hidden treasure!

• North of East, like you're pushing towards a villain's lair!

• East of North, like you're pushing towards a secret superhero base!

• West of North, like you're pushing towards a mountain peak!

Tags

NGSS.HS-PS2-1

Imagine you're in a magical world where arrows can represent concepts! In this world, which statement correctly describes the roles of the blue and orange arrows in representing distance and displacement?

• The blue arrow is a magical distance marker, and the orange arrows are mystical displacement indicators

• The blue arrow is a mystical displacement indicator, and the orange arrows are magical distance markers

• Both arrows are magical distance markers only

• Both arrows are both magical distance markers and mystical displacement indicators

Let's go on a treasure hunt! You found a treasure chest, but it's locked with a magical lock. The key to open it is the magnitude. Can you find it?

• 0

• 5

• -5

• 4

Imagine you're a superhero, flying through the sky! Now, think about this: what would a resultant vector be?

• Is it equal to the sum of one vector, like a single leap into the sky?

• Or is it equal to the sum of two or more vectors, like a series of leaps and bounds?

• Or maybe it's equal to the difference of one vector, like a sudden drop from the sky?

Tags

NGSS.HS-PS2-2

Imagine you're a superhero, flying through the sky! You encounter two vectors. What would be the result if you combined these two vectors?

• You fly +12 m further

• You fly +3 m further

• You fly -12 m back

• You fly -3 m back

Imagine you're a mathematician on a quest, and you encounter two vectors at right angles. What magical formula would you use to add them?

• Cast a multiplication spell

• Invoke the division charm

• Summon the Pythagorean Theorem

• Use the trigonometry incantation

Imagine you're a superhero, and you're using your superpower of vector addition! When you're drawing your vector addition diagram using the head-to-tail method, where would you draw the resultant?

• From the head of the first vector to the tail of the last vector

• From the tail of the first vector to the head of the last vector

• From the head of the last vector to the tail of the first vector

• From the tail of the last vector to the head of the last vector

Imagine Bob is on a thrilling adventure! He strides 2 miles north, then takes a sharp turn west and marches another 2 miles. Can you figure out Bob's overall displacement?

• 4 miles towards the northeast

• 4 miles towards the northeast

• 3 miles towards the northwest

• 3 miles towards the southeast