# What is the magnitude and direction of vector c

• torresmido
In summary, vector C needs to have the same magnitude as the resultant of vector A and B, but in the opposite direction in order to make the overall sum equal to zero. The direction of vector A is 0 degrees from the positive x-axis, as it is specified to be pointing to the right.
torresmido

## Homework Statement

Vector A points to the right with magnitude 10 m/s, and vector B points upward vertically
with magnitute of 15 m/s. What is the magnitude and direction of vector c such that A+B+C=0

Any ideas on this problem are appreciated..

## The Attempt at a Solution

A+B+C=0

(A+B)+C=0

Find A+B and then to make it zero C would be in the opposite direction of that resultant

I can do that, but I'm confused about one thing.
When they that the vector is pointing to the right, does it mean that its direction is 0 degrees from the positive x-axis or its direction is some angle between the the x-axis and the y-axis?

Well I assuming that it is in the direction of the positive x-axis, else they would have specified the angle(not zero) to which it acts.

## 1. What is the definition of magnitude and direction of vector c?

The magnitude of a vector is its size or length, while the direction of a vector is the angle at which it is pointing in relation to a reference point.

## 2. How is the magnitude of vector c calculated?

The magnitude of vector c can be calculated using the Pythagorean theorem, which states that the magnitude is equal to the square root of the sum of the squares of its components.

## 3. Can the magnitude of vector c be negative?

No, the magnitude of a vector is always a positive value. If the vector is pointing in the opposite direction, it is often represented as a negative value, but the magnitude itself will still be positive.

## 4. What unit is used to measure the magnitude of vector c?

The unit of measurement for the magnitude of vector c will depend on the context and the specific vector being measured. For example, if vector c represents velocity, the magnitude may be measured in meters per second.

## 5. How is the direction of vector c represented?

The direction of vector c is typically represented using degrees or radians in relation to a reference point or axis. It can also be represented using a compass direction, such as north or south.

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