Understanding, representing and using vectors

Find the magnitude of the resultant for the Force vectors given:
F₁ : magnitude = 60 lbs, θ = 80°
F₂ : magnitude = 80 lbs, θ = 20°

• 121.66 lbs
• <85.6, 86.5>
• 45.3°
• 140 lbs

A ferry departs from A(-25, 28). It takes 3 hours to reach its destination B(20, -32), travelling in as straight line with constant velocity. Distances are in km. Find the velocity vector of the ferry.

• 15i + 20j

• 15i - 20j

• 20i + 15j

• 20i - 15j

This is always between 0-90 degrees, measured from north or south and then goes toward the east or west

• True bearing

• Quadrant bearing

• Resultant

• Zero vector

This vector's direction can be described as 41 degrees ​ (a)   of ​ (b)  

• north
• west
• east
• south

A ferry departs from A(-25, 28). It takes 3 hours to reach its destination B(20, -32), travelling in as straight line with constant velocity. Distances are in km. Find the distance that the ferry travels.

• 50 km

• 55 km

• 70 km

• 75 km

Bob walks 4 miles west and stops to rest. He then continues to walk another 3 miles west. What is his displacement?

• 7 miles west

• 1 mile west

• 12 miles west

• 7 miles east

Given a vertical velocity of 300 in/s and a horizontal velocity of 400 in/s, find the resultant velocity and angle of the plane.

• 500 in/s at an angle of 37 degrees

• 500 in/s at an angle of 41 degrees

• 50 in/s at an angle of 37 degrees

• 50 in/s at an angle of 41 degrees

Determine the magnitude and direction of the force vector:

 $\vec{f\ }=\left[123,\ 234\right]$  

• 357 N [N28°E]

• 357 N [N62°E]

• 264 N [N28°E]

• 264 N [N62°E]

Which statements are true?

•  $\overrightarrow{OM}\ =\overrightarrow{OB}\ +\ \frac{1}{2}\overrightarrow{AB}$  

•  $\overrightarrow{OM}\ =\overrightarrow{OB}\ +\ \frac{1}{2}\overrightarrow{BA}$  

•  $\overrightarrow{OM}\ =\overrightarrow{OA}\ +\ \frac{1}{2}\overrightarrow{AB}$  

•  $\overrightarrow{OM}\ =\overrightarrow{OA}\ +\ \frac{1}{2}\overrightarrow{BA}$  

Johns school is located 2 miles south and 4 miles east.  When John leaves school to go home he walks 6 blocks North and then 8 blocks west. How far is John from the school? 

• 14 blocks
• 12 blocks
• 14.4 blocks
• 8.5 blocks