Name __________________
Sketching Vector Addition
1. Given vectors 𝐮 and 𝐯 on the right, sketch the resul9ng vector. When
adding or subtrac9ng two vectors, include a sketch of the two vectors
added by placing them head to tail.
a. 𝐮 + 𝐯
d. 𝐯 − 𝐮
e. −𝐮 + 𝟐𝐯
b. 2𝐮
c. −𝐯
f. 𝐮 − 𝟐𝐯
© Hailstone Math 2023
2. Given vectors 𝐮 and 𝐯 on the right, sketch the resul9ng vector.
When adding or subtrac9ng two vectors, include a sketch of the
two vectors added by placing them head to tail.
a. 𝐮 + 𝐯
𝟏
d. 𝟐𝐯 + 𝐮
𝟏
b. − 𝟐 𝐯
e. 𝟐𝐮 − 𝟐 𝐯
c. 𝐯 − 𝐮
f. 𝟐𝐮 + 𝟐𝐯
© Hailstone Math 2023
3. Given vectors 𝐮 and 𝐯 on the right, sketch the resul9ng vector. When
adding or subtrac9ng two vectors, include a sketch of the two vectors
added by placing them head to tail.
a. 𝐯 + 𝐮
b. −𝐮 − 𝐯
c.
𝟏
d.
𝟑
𝟐
𝟐
𝐮 − 𝟐𝐯
𝐮+𝐯
© Hailstone Math 2023
4. Given vectors 𝐮 and 𝐯 on the right, sketch the resul9ng vector. When
adding or subtrac9ng two vectors, include a sketch of the two
vectors added by placing them head to tail.
a. 3𝐯 − 𝐮
c. 𝐮 + 2𝐯
b. 2𝐮 − 2𝐯
d. 𝐯 − 3𝐮
© Hailstone Math 2023
ANSWER KEY – Sketching Vector Addition
1. (a)
(b)
2. (a)
(b)
(c)
(c)
(d)
(d)
(e)
(e)
(f)
(f)
© Hailstone Math 2023
3. (a)
4. (a)
(b)
(b)
(c)
(c)
(d)
(d)
© Hailstone Math 2023
SKETCHING
VECTOR
ADDITION
PRECALCULUS Worksheets
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