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25. Vectors
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iGCSE (2021 Edition)

25.02 Addition, subtraction and scalar multiplication

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Interactive practice questions

Which vector is the result of $a+b$a+b?

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A Cartesian coordinate system with four vectors labeled $a$a, $b$b, $c$c, and $d$d. Each vector has an arrowhead indicating its direction. Vector $c$c is pointing directly to the right, vector $a$a is pointing up and to the right at an angle, vector $b$b is pointing down and to the right, and vector $d$d is pointing directly to the left. These vectors are not connected and are placed separately within the coordinate plane. Their placement and direction indicate that they likely represent different magnitudes and directions in a two-dimensional vector space.

$c$c

A

$d$d

B
Easy
< 1min

The vectors $a$a and $b$b have been graphed below.

Plot the result of $a+b$a+b on the same axes.

Easy
< 1min

Consider the two vectors $a$a and $b$b, as graphed below.

Easy
< 1min

The vectors $a$a, $b$b and $c$c have been graphed below.

Plot the result of $a+b+c$a+b+c on the same axes.

Easy
< 1min
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Outcomes

0580C7.1B

Add and subtract vectors. Multiply a vector by a scalar.

0580E7.1B

Add and subtract vectors. Multiply a vector by a scalar.

0580E7.3

Calculate the magnitude of a vector (x y) as x^2 + y^2 . Represent vectors by directed line segments. Use the sum and difference of two vectors to express given vectors in terms of two coplanar vectors. Use position vectors.

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