Component Form, Magnitude, Direction Angle and Unit Vectors

A unit vector is a vector that is parallel to the given vector and has _____________.

• magnitude of 1

• the same direction

• the same size

Step 3: Find the unit vector for < 4,5 > .

You will find 2 answers, 1 decimal one in standard form.

• < 4 / √41 , 5 / √41 >

• < .62, .78>

• < .10, .12 >

Find the unit vector in the direction of <4, -3>

• < ⅘, -⅗ >

• <0.57, -0.43>

• <1, -1>

• -¾

A unit vector is a vector that is _____________the given vector and has _____________.

• parallel to, magnitude of 1
• equal to, the same direction
• opposite, the same size
• smaller than, the same direction

Find the unit vector in the direction of <-7, 0>

• -7
• -1
• <-1, 0>
• <1, 0>

Find the component form of a vector whose initial point is (5, 7) and terminal point is (1, 10)

• <-4,3>
• <4,-3>
• 5
• <6,17>

Determine the direction of the vector <-1, 3>

• 161 degrees

• -72 degrees

• 288 degrees

• 108 degrees

Using degrees only, what is the direction of the vector?

• 220^o
• 230^o
• 310^o
• 320^o

the direction (θ) for vector v. Round to three decimals.

• -74.054^o
• 105.945^o
• -15.945^o
• 164.055^o