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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

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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 A \vec{A} can be resolved into components Ax A_x and Ay A_y such that: A=Axi^+Ayj^ \vec{A} = A_x \hat{i} + A_y \hat{j} where i^ \hat{i} and j^ \hat{j} 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

This problem has been solved

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