Component Form, Magnitude, Direction Angle and Unit Vectors

When a vector is in standard position, the initial point of the vector is located at the __________________. (use all lower case when typing your response)

Any vector with initial point (x₁, y₁) and terminal point (x₂, y₂) can be written in component form as:

• 
• 
• 
• 

Which of the following is the component form for a vector with initial point (-1, 5) and terminal point (6, 8)?

• <-3, -7>

• <3, -7>

• <-3, 7>

• <7, 3>

Write in component form.

• <-8, -2>

• <8, 2>

• <2, 8>

• <-2, -8>

Given terminal point A ( 2, 4 ) and initial point B ( -8, 7 ), find the component form of the vector BA.

• 〈-10,3〉

• 〈-6,11〉

• 〈10, -3〉

• 〈-6,-3〉

Find the magnitude of vector AB if the initial point is (-3, 1) and the terminal point is (3, 9).

• 6
• 8.2
• 10
• 10.4

Find the direction angle for the vector initial point (-3, 4) and terminal point (-10, 4). Hint: you can use the formula or sketch a graph

• 0 degrees

• 90 degrees

• 180 degrees

• 270 degrees

Find the direction angle for the vector initial point (-3, 7) and terminal point (-3, -2). Hint: you can use the formula or sketch a graph

• 0 degrees

• 90 degrees

• 180 degrees

• 270 degrees

Find the magnitude of the vector

with initial point (-8, 7) and

terminal point (2, -5).

Round to the nearest tenth.