Understanding Vectors from Two Points

The video tutorial explains how to write a vector given two points, using both algebraic and graphical methods. It starts with an introduction to the vector formula, which involves subtracting the initial point from the terminal point. The tutorial then demonstrates how to calculate vectors algebraically by finding the horizontal and vertical changes. Following this, it shows how to represent vectors graphically by plotting points and drawing vectors with direction arrows. The video concludes by emphasizing the importance of counting from the initial to the terminal point and ensuring the correct direction is determined.

What is the initial point given in the problem statement?

• (1, 5)

• (0, 0)

• (-3, 4)

• (5, -1)

How do you find a vector algebraically?

• Multiply the initial and terminal points

• Divide the terminal point by the initial point

• Subtract the initial point from the terminal point

• Add the initial and terminal points

What is the result of subtracting 5 from -3 in the horizontal direction?

• -8

• 8

• 2

• -2

What is the vertical component of the vector when calculated algebraically?

• 10

• 0

• -5

• 5

What is the first step in the graphical method of finding vectors?

• Count the direction

• Calculate the vector algebraically

• Plot the initial and terminal points

• Draw the vector

How do you determine the direction of the vector graphically?

• By adding the coordinates

• By drawing a line from the terminal to the initial point

• By calculating the difference between points

• By drawing a line from the initial to the terminal point

What is the horizontal distance counted in the graphical method?

• 8 to the right

• 8 to the left

• 5 to the right

• 5 to the left

What is the vertical distance counted in the graphical method?

• 8 up

• 8 down

• 5 up

• 5 down

What is the key point to remember when calculating vectors?

• Multiply the coordinates

• Always add the points

• Subtract initial from terminal

• Subtract terminal from initial

Which method ensures the correct direction of the vector?

• Neither method

• Both methods

• Algebraic method only

• Graphical method only