8.2 Vectors in the coordinate plane

Find the component form of AB with initial point A(-4, 2) and

terminal point B(3, -5).

• <7,7>

• <-7,7>

• <-7,-7>

• <7,-7>

Identify the component form of vector v with magnitude 14 and direction angle 120 degree.

• <7,12>

• <7,-12>

• <-7, 12>

• <-7,-12>

The component form of vector v with magnitude 2 and direction angle 240 degree is _____

• <2,2>

• <-1 , -1.7>

• <2 , -2>

• <2 , 2.8>

Find the magnitude of (CD) ⃑=⟨7,-7⟩

• 9.9

• 7

• 98

• 9.8

Find the magnitude of (AB) ⃑ with initial point A(-2, -7) and terminal point B(6, 1).

• 128

• 11.3

• 12.8

• 12.3

Determine the resultant vector of the following for w=⟨-4, 1⟩, y=⟨2 5⟩

• <-6,4>

• <-2,6>

• <6,4>

• <-2,4>

A A goalkeeper running forward at 5 m/s throws a ball with a velocity of 25 m/s at an angle of 40° with the horizontal. What is the resultant speed and direction of the pass?

Step 1: V1 = < 5,0>

V2 = ?

• < 19 , 16 >

• <5,25>

• < 12,25>

• <25,5>

A goalkeeper running forward at 5 m/s throws a ball with a velocity of 25 m/s at an angle of 40° with the horizontal. What is the resultant speed and direction of the pass?

Step 2 : Add V1 + V2 to find the resultant vector r.

r = ?

• <5,16>

• <24,16>

• <24,0>

• <16,0>

A goalkeeper running forward at 5 m/s throws a ball with a velocity of 25 m/s at an angle of 40° with the horizontal. What is the resultant speed ?

Step 3 : Identify the resultant speed/ magnitude of r

• 20

• 24

• 16

• 29

A goalkeeper running forward at 5 m/s throws a ball with a velocity of 25 m/s at an angle of 40° with the horizontal. What is the direction of the pass?

Step 4 : Obtain the angle that shows the direction of the path

• 34 degree

• 40 degree

• 0.01 degree

• 44 degree