Vectors (OCR GCSE Maths): Flashcards

📚Flashcards
Vectors
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

15 cards from this deck

Show

What do vectors describe?

Movement from one point to another in space

What does the top number in a vector represent?

Horizontal movement (+ right, - left)

What does the bottom number in a vector represent?

Vertical movement (+ up, - down)

What is the magnitude of a vector?

The length of the vector (distance from tail to head)

Formula for magnitude of a vector

a=x2+y2|\mathbf{a}| = \sqrt{x^2 + y^2}

How to add vectors

Add top numbers together, add bottom numbers together

What is a resultant vector?

The result of adding vectors together

How to subtract vectors

Add the negative of the vector being subtracted

How to find the negative of a vector

Change the signs of both components

How to multiply a vector by a scalar

Multiply both components by the scalar

Effect of positive scalar on vector direction

Direction stays the same

Effect of negative scalar on vector direction

Direction reverses

What is a linear combination of vectors?

Multiply vectors by scalars, then add/subtract them

What does vector (34)\begin{pmatrix} 3 \\ 4 \end{pmatrix} mean?

Move 3 units right and 4 units up

Magnitude of (34)\begin{pmatrix} 3 \\ 4 \end{pmatrix}

32+42=25=5\sqrt{3^2 + 4^2} = \sqrt{25} = 5

Join 100,000+ GCSE students studying Flashcards with us.

Select your subjects, and get access to A+ resources today.