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Q13 OQ

Expert-verifiedFound in: Page 150

Book edition
9th Edition

Author(s)
Raymond A. Serway, John W. Jewett

Pages
1624 pages

ISBN
9781133947271

**A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y-component is negative. (c) The x-component is negative, and the y-component is positive. (d) Both components are negative. (e) More than one answer is possible.**

The correct option is (c).

**A two-dimensional Cartesian system's axes split the plane into four infinite areas called quadrants, each of which is delimited by two half-axes. The coordinates are commonly numbered from 1 to 4 and represented by Roman numerals: I (+, +), || (-, +), III (-, -), and IV (+, -).**

Consider the diagram below, which depicts the coordinate system's partition into four quadrants.

Here, x and y are positive for a point in the | quadrant, || the quadrant x is negative, and both x and y are negative for the third quadrant. x is positive and y is negative if the point is in the fourth quadrant.

The issue specifies that the vector extends from the origin to the second quadrant.

The x-component will be negative, whereas the y-component will be positive, as seen in the diagram.

Hence, option (c) is the correct choice.

The x-component will be negative and the y-component will be positive.

So, option (a) is incorrect.

The x-component will be negative and the y-component will be positive.

So, option (b) is incorrect.

The x-component will be negative and the y-component will be positive.

Quadrant IV denotes (+, -).

So, option (d) is incorrect.

The x-component will be negative and the y-component will be positive.

So, option (e) is incorrect.

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