Vectors by Components

1. Write the given "coordinates" in component form.

• <0,4>

• < 8, -2>

• <2, 8>

• <0,2>

A hiker walks 5 kilometers due north and then 7 kilometers due east. What is the magnitude of the resultant vector?

• 11.5 km

• 2km

• 6 km

• 8.6 km

What is the y component of the vector given in the diagram?

(Hint: use Trig Function)

• 120N

• 170 deg

• 91.9 deg

• 70N

What is the x component of the vector given in the diagram?

• 77N

• 120 deg

• 91.9 deg

• 60N

Which of the following quantities are vectors?

• force, acceleration, mass

• velocity, acceleration (speed), force

• 
  length, mass, time

• speed, velocity, acceleration

The magnitude of the resultant vector is equal to......

• 50m

• 2500m

• 70m

• 800m

The president’s airplane, Air Force One, flies at 250 m/s to the east with respect to the air. The air is moving at 35 m/s to the north with respect to the ground. Find the velocity of Air Force One with respect to the ground.

(hint: find the magnitude)

• 435m/s

• 252m/s

• 125m/s

• 435m/s

You slowly walked 10 km West and then quickly ran 10 km North. During each part of the journey, the _____ was the same.

• Time

• Velocity

• Distance

• Force

A vector is a mathematical structure by definition it that has both _______ and _______.

• Sound and Speed

• Magnitude and Direction

• Space and Time

• Motion and Sound

Given an initial point R ( -12, 4) and terminal point S (28, -17), find the component form of the vector RS. (Hint: using less and greater than symbols)

• (-14,13)

• <40, -21>

• <14, -13>

• (40, -21)