Lesson video

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Hi, I'm Ms. Davis.

In this lesson, we're going to be writing a column vector from a diagram.

A vector is a description of both direction and magnitude of a movement.

It tells you how many units to move and in which direction.

The instruction five right, three up, can be written as the vector five, three.

The top value gives you the X component.

This is how many squares it moves in a horizontal direction.

The bottom value is the Y component.

It tells you how many units to move in a vertical direction.

The instruction six left, seven up can be written as the vector negative six, seven.

The top value, which is the horizontal component is a negative value if it is a movement left and it's a positive value, if it is a movement, right.

The bottom value, which is the vertical component is a positive value for any upward movement and a negative value for downward movement.

The instruction four down is written as the vector zero negative four.

It doesn't have a horizontal component, so the top value is zero.

As it is a movement down, the second value is negative.

The instruction eight left is written as the vector negative eight zero as it is a movement to the left.

The top horizontal component is a negative value.

And as there is no vertical movement, the bottom value is zero.

We've been asked to write a as a column vector.

As we've just learned, the top value in a vector is the horizontal component.

We can see from the diagram that this line is five squared to the right.

It's really important to pay attention to which direction the arrow is pointed in, as that tells you the direction.

The top value of our vector is five.

We can also say that this vector goes four squares up to the button value in our vector is four.

The vector a is written as five, four.

We now being asked to write, vector b as a column vector.

We can see from the way that the arrow is pointed, that vector b goes left and down.

It is four squares to the left and two squares down.

This means the column vector for b is negative four, negative two.

Here are some questions for you to try, pause the video to complete your task and resume once you're finished.

The top value is moving in the horizontal direction.

The positive values move it to the right and the negative values move left.

The bottom value is a movement in the vertical direction, positive values move up and negative values move down.

Here's some questions for you to try, pause the video, to complete your task and resume once you're finished.

Here are the answers, make sure that you've drawn an arrow onto your diagram as this shows direction.

Here is some questions for you to try, pause the video, to complete your task and resume once you're finished.