Adding and subtracting vectors

What vector gives the sum of these two vectors?

• 
• 
• 
• 
• 

What is the resultant vector of the two labeled vectors?

• +2 km

• +14 km

• -2 km

• -14 km

Vector u has a magnitude of 5 with a direction of 55°. Vector v has a magnitude of 7 with a direction of 25°. Which vector components represent the sum of u + v?

• (-7.06, -9.21)

• (7.06, 9.21)

• (-9.12, -7.60)

• (9.21, 7.06)

 $\vec{a}$  = 12 N [E]
 $\vec{b}$  = 15 N [S30°E]
Determine  $\vec{a}+\vec{b}$  

• [ -1.0, 7.5 ]

• [ 19.5, -13.0 ]

• [ 7.5, -1.0 ]

• [ 13.0, 19.5 ]

What is the sum of the forces in the X direction?

• 7.10N
• 4.10N
• 5N
• 8N

Which vector equation matches the vector operation shown in the diagram below?

• u+w=-v

• v+u=w

• w+u=v

• -v+w=2u

How should you add two vectors?

• Add them head to tail
• Add them tail to tail
• Add them with the addition key
• just add the length of each

 $ABCD$  is a parallelogram. What vector is equal to  $u+v$  ?

•  $\overrightarrow{AC}$  

•  $\overrightarrow{BD}$  

A way to find the resultant vector by lining them up tip-to-tail.

• Parallelogram method

• Triangle method

• Rectangular method

• Circle method

What is the sum of vectors p = (1, -3) and q = (4, 2)?

• (5, -1)

• (3, 5)

• (5, -5)

• (3, -1)