Math Problem Statement

Реши

Nosaki vektora projekciju uz Ox ass! (Determine the projection of the vector onto the Ox axis!)

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:

  1. 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).
  2. 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:

  1. How do you calculate the magnitude of the vector?
  2. What is the projection of the vector on the y-axis?
  3. Can you find the angle between the vector and the x-axis?
  4. How would you compute the dot product of this vector with another vector?
  5. 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