Math Problem Statement

Select vectors based on their x and y components as per the given coordinate plane.

Solution

The image you uploaded is related to vectors in a coordinate plane. It shows four vectors with different components, and the tasks ask you to select vectors based on their components.

Let's break down the selections for each part:

  • Part (a): "Select all vectors with an x component of zero."
    The vector(s) with a zero x-component would be the vertical ones (vectors that only point in the y-direction). In the image, this corresponds to vector 2, which lies along the y-axis.

  • Part (b): "Select all vectors with a y component of zero."
    The vector(s) with a zero y-component would be the horizontal ones (vectors that only point in the x-direction). In the image, this corresponds to vector 3, which lies along the x-axis.

  • Part (c): "Select all vectors with a negative x component."
    Vectors with a negative x-component point to the left. In the image, none of the vectors have a negative x-component.

  • Part (d): "Select all vectors with a negative y component."
    Vectors with a negative y-component point downward. In the image, vector 1 points downward along the negative y-axis.

  • Part (e): "Select all vectors with a positive x component."
    Vectors with a positive x-component point to the right. In the image, vectors 1 and 2 have a positive x-component.

Let me know if you would like further clarifications or additional explanations for any of these parts!

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Math Problem Analysis

Mathematical Concepts

Vector components
Coordinate planes
Positive and negative axes

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12