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Solutions week 2

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Quiz 4
1. Make a graph of the vector bases on the statement
Find the value of the angle represented by the blue color:



The answer will be:

2. Compute for the sum by adding their respective components:


Note that the question asks for if  is the sum.

3. Note that is similar to

First, find the value of . This can be done by adding 
to the initial angle value of





Now use the method for addition of two vectors (Method 1)
Step 1: Resolve to component form:



Step 2: Add the respective components:



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Quiz 4 1. Make a graph of the vector bases on the statement Find the value of the angle represented by the blue color: θ = 270∘ − 28∘ θ = 242∘ The answer will be: 3∠242∘ 2. Compute for the sum by adding their respective components: 𝐴 + 𝐵 + 𝐶 = ⟨(3 + 3 + 2), (4 + 1 + 4), (5 − 9 + 6)⟩ 𝐴 + 𝐵 + 𝐶 = ⟨8, 9, 2⟩ Note that the question asks for 𝑥 + 𝑦 + 𝑧 if ⟨𝑥, 𝑦, 𝑧⟩ is the sum. 𝑥 + 𝑦 + 𝑧 = 8 + 9 + 2 = 19 3. Note that 𝐴 − 𝐵 is similar to 𝐴 + (−𝐵) First, find the value of −𝐵. This can be done by adding 180∘ ...
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