MCV4U
Name
Date
Assignment -Chapter 6 Vectors
KNOWLEDGE
COMMUNICATION APPLICATION
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THINKING
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1. For the given vectors,𝑢
⃗ and 𝑣, draw the following resultant vectors.
a. ⃗⃗⃗⃗
2𝑢 − ⃗⃗⃗⃗
3𝑣
c.
3
1
1
1
2
2
4
4
b. ( 𝑢
⃗ + 𝑣) + 2( 𝑢
⃗ + 𝑣)
𝑣
𝑢
⃗
OVERALL
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3(2𝑢
⃗ + 2𝑣) − 2(2𝑣 + 4𝑢
⃗)
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2. Explain the followinga. Explain how vectors 𝑢
⃗ , 5𝑢
⃗ and −5𝑢
⃗ are related.
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b. Is it possible for the sum of 3 parallel vectors to be equal to the zero vector?
3
3. The point P = (2, 3, 4) in 
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a. Draw the rectangular prism using the given point on the grid provided
b. Determine the coordinates for all the points and label them.
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4. A triangle in R3 has two sides represented by the vectors
Determine the measures of the angles of the triangle.
= (2, 3, –1) and
= (1, 4, 1).
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5. Let a = (k ,2) and b = (7,6) where k is a scalar. Determine all values of k such that
a − b = 5.
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6.
= 5 and
and
= 8. The angle formed by
is 35°, and the angle formed by
is 40°. The magnitude of E is twice as magnitude of A. Determine
in terms of A, D and E?
E
and
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⃗
. What is 𝐵