Splitting one vector into two component vectors is called resolving.a.Trueb.False
Question
Splitting one vector into two component vectors is called resolving.
a. True
b. False
Solution
Step 1: Break Down the Problem
The question asks whether splitting one vector into two component vectors is referred to as "resolving."
Step 2: Relevant Concepts
In physics and mathematics, the term "resolving a vector" refers to the process of breaking a vector down into its component parts, typically along specified axes (like x and y axes in a 2D space).
Step 3: Analysis and Detail
When a vector is resolved into its components, it is represented in terms of its projections on axes, which helps in analyzing its effects in those specific directions. For example, a vector can be resolved into components and such that: where and are unit vectors along the x and y axes, respectively.
Step 4: Verify and Summarize
The terminology used in vector decomposition confirms that splitting a vector into its components is indeed called resolving.
Final Answer
a. True
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