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Mastering Vectors

Mathematics
Grade 7
1 questions
~2 mins
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About This Worksheet

A worksheet covering Vectors for Grade 7 students, including basic concepts and real-world applications.

Topics covered:

#Mathematics
#Vectors

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Mastering Vectors

Subject: MathematicsGrade: Grade 7
Name:
Date:

Untitled Worksheet

Grade Grade 7
A

Introduction

Read the brief explanation below before attempting the questions.
1.
A vector has both magnitude and direction. The magnitude of a vector is its length, and the direction shows which way it points. The formula for the magnitude of a vector v⃗=(x,y) \vec{v} = (x, y) is ∣v⃗∣=x2+y2 |\vec{v}| = \sqrt{x^2 + y^2} .
[2 marks]
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the magnitude of the vector A⃗=(3,4) \vec{A} = (3, 4) .
[2 marks]
2.
Determine the magnitude of the vector B⃗=(6,8) \vec{B} = (6, 8) .
[2 marks]
3.
Find the resultant vector of C⃗=(2,3) \vec{C} = (2, 3) and D⃗=(4,−1) \vec{D} = (4, -1) .
[3 marks]
4.
If E⃗=(5,0) \vec{E} = (5, 0) and F⃗=(0,7) \vec{F} = (0, 7) , what is E⃗+F⃗ \vec{E} + \vec{F} ?
[3 marks]
5.
What is the magnitude of the vector G⃗=(0,0) \vec{G} = (0, 0) ?
[1 mark]
6.
Calculate the length of the vector H⃗=(7,24) \vec{H} = (7, 24) .
[2 marks]
7.
Given vectors I⃗=(1,2) \vec{I} = (1, 2) and J⃗=(3,4) \vec{J} = (3, 4) , find the dot product.
[3 marks]
8.
Determine whether the vectors K⃗=(2,−3) \vec{K} = (2, -3) and L⃗=(−2,3) \vec{L} = (-2, 3) are perpendicular.
[2 marks]
9.
A car travels 60 km east and then 80 km north. Represent this journey as a vector.
[4 marks]
10.
The displacement of a boat is represented by the vector (5,12) (5, 12) . What is the distance from the starting point to the ending point?
[3 marks]
11.
A drone flies 10 km north, then 24 km east. Write the displacement vector and find its magnitude.
[4 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet
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