Math Problem Statement
Реши
Solution
The image you provided contains a vector plotted in a coordinate plane. The text in Latvian asks you to determine the projection of the vector onto the Ox (x-axis).
Solution Steps:
-
Identify the vector's coordinates:
- By examining the graph, it appears that the vector starts at the origin (0, 0) and ends at the point (3, 6).
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Projection onto the x-axis:
- The projection of a vector onto the x-axis is simply its x-component.
- In this case, the vector ends at x = 3, so the projection of the vector onto the x-axis is 3.
Thus, the projection of the vector onto the x-axis is 3.
Let me know if you'd like further details or clarifications!
Here are 5 related questions to expand your understanding:
- How do you calculate the magnitude of the vector?
- What is the projection of the vector on the y-axis?
- Can you find the angle between the vector and the x-axis?
- How would you compute the dot product of this vector with another vector?
- What is the general formula for the projection of one vector onto another?
Tip: Remember, projections onto axes are equivalent to the components of the vector in those directions.
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Math Problem Analysis
Mathematical Concepts
Vector projection
Coordinate geometry
Formulas
Projection of a vector on the x-axis = x-component of the vector
Theorems
Basic vector projection on coordinate axes
Suitable Grade Level
Grades 9-12
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