Adding and subtracting vectors

These vectors are ...

• Tail to tail

• Head to head

• A resultant vector

• Head to tail

Two or more vectors with sum that is vector r.

• Zero vector

• Resultant

• Direction

• Components

Describe the translation using a column vector

• A

• B

• C

What is the resultant vector if the two vectors are added together? (What is the displacement?)

• <3, 6>

• <-9, -8>

• <9, 8>

• <6, 3>

Calculate 7c + d

Write your answer like this: (a, b) where a is the top number of the vector and b is the bottom number of the vector.

Find s + t

• 
• 
• 
• 

Two forces on an object are in the same direction. How do we calculate the resultant force?

• take away one from the other
• multiply them
• divide one by the other
• add them together

Which of the vectors, P, Q, R, S, or T, shown in the diagram is equal to A +B?

• P

• Q

• R

• S

• T

The vector v has magnitude 8 and direction angle 90°. The vector w has magnitude 2 and direction angle 0°.

Find the magnitude and direction angle θ of the sum v+w.

Round your answers to the nearest thousandth.

• 9.103

  47.632 degrees

• 6.120

  45 degrees

• 8.367

  77.912 degrees

• 8.246

  76.964 degrees

When adding two vectors graphically, a+b=c. Does b+a produce the same resultant vector c?

• Yes, two vectors added together always produce the same resultant vector

• No, because order matters

• Yes, but c will be pointing in the opposite direction

• No, because you can't add two vectors