Lesson 1 – Introduction to Vectors

Multiple Choice

Which of the following is a reason why vectors are important in football, as described in the lesson introduction?

• They describe the color of the ball.

• They describe both the speed and direction of the ball.

• They describe the size of the football field.

• They describe the number of players.

Multiple Select

Which of the following pairs correctly matches a scalar quantity with a vector quantity?

• Speed and displacement

• Distance and velocity

• Mass and force

• Temperature and acceleration

Multiple Select

Which of the following are examples of vector quantities used in rollercoaster rides according to the lesson?

• Force

• Acceleration

• Velocity

• Temperature

Open Ended

Describe one real-life application of vectors in video games or amusement park rides, as discussed in the lesson.

Multiple Choice

Which of the following is NOT a keyword related to vectors as introduced in the lesson objectives?

• Initial point

• Terminal point

• Quadrant bearing

• Scalar multiplication

Multiple Choice

Which of the following best describes a vector quantity?

• A quantity that has only magnitude

• A quantity that has both magnitude and direction

• A quantity that has only direction

• A quantity that has neither magnitude nor direction

Open Ended

What is the difference between a quadrant bearing and a true bearing when describing the direction of a vector?

Multiple Select

Select all statements that correctly describe a vector as used in this lesson.

• A vector has both magnitude and direction.

• A vector can be represented by an arrow diagram.

• A vector always points to the right.

• A vector can have its initial point at the origin.

Multiple Choice

Which of the following quantities is described with both a magnitude and a direction?

• 20 ft/sec at a bearing of 030°

• 75 N of force

• 30 miles per hour

• 13 centimeters

Multiple Choice

Which of the following terms refers to the result of adding two or more vectors?

• magnitude

• direction

• resultant

• component form

Multiple Choice

What vector gives the sum of these two vectors?

Multiple Choice

The result of adding two opposite vectors; the magnitude is zero and there is no direction.

• Zero vector

• Resultant

• Component

• Magnitude

Multiple Choice

Add the following vectors:

Multiple Choice

Which of the following is NOT a topic you will learn about vectors in this chapter?

• Finding the projection of one vector onto another

• Finding cross products of vectors in space

• Solving quadratic equations

• Finding dot products and angles between vectors

Open Ended

How can vectors be used to model real-life situations such as the movement of a kayak in a river?