GCSE Secondary Maths Age 13-17 - Pythagoras & Trigonometry: Vectors - Explained

The video tutorial explains how to work with vectors on a grid. It starts by introducing the grid, axes, and vectors A and B. The tutorial then demonstrates how to draw and label the vector -2A, explaining the significance of the negative sign in reversing direction. Next, it covers the calculation of vector A + 2B as a column vector, detailing the steps to double vector B and combine it with vector A. The tutorial concludes with a discussion on vector properties, emphasizing the importance of direction and the relative ease of the question presented.

What is the first step in drawing the vector -2A on a grid?

• Rotate vector A by 90 degrees

• Halve the length of vector A

• Reverse the direction of vector A

• Double the length of vector A

How is vector B represented as a column vector?

• [1, 3]

• [1, -3]

• [-1, 3]

• [-1, -3]

What is the result of adding vector A and twice vector B?

• [1, -3]

• [2, -6]

• [4, -5]

• [3, -4]

Why is it important to consider the direction of a vector?

• It affects the vector's magnitude

• It changes the vector's length

• It determines the vector's color

• Reversing direction changes the vector's sign

What does the term 'magnitude' refer to in vector operations?

• The position of the vector

• The direction of the vector

• The length of the vector

• The color of the vector