Given a position vector →v=⟨a,b⟩,the magnitude is found by |v|=√a2+b2. The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application. For a position vector, the direction is found by **tanθ=(ba)⇒θ=tan−1(ba)**, as illustrated in Figure 8.8. 6.

Contents

- 1 What is the formula for direction?
- 2 What is the direction in physics?
- 3 How do you find the direction of a vector?
- 4 How do you find the resultant direction?
- 5 What is a vector formula?
- 6 How do you find magnitude and direction?
- 7 What are some examples of direction?
- 8 Does scalar have direction?
- 9 Does magnitude have direction physics?
- 10 What is unit vector direction?
- 11 Can a vector have a negative direction?
- 12 Is direction a vector or scalar?
- 13 How do you find the direction of two vectors?
- 14 Does distance have magnitude and direction?

## What is the formula for direction?

The direction of a vector is the measure of the angle it makes with a horizontal line. tanθ=y2 − y1x2 − x1, where (x1,y1) is the initial point and (x2,y2) is the terminal point. Example 2: Find the direction of the vector →PQ whose initial point P is at (2,3) and end point is at Q is at (5,8).

## What is the direction in physics?

The direction of a vector is often expressed as an angle of rotation of the vector about its “tail” from east, west, north, or south. The direction of a vector is often expressed as a counterclockwise angle of rotation of the vector about its “tail” from due East.

## How do you find the direction of a vector?

A vector’s direction can be described by the angle its tail forms with East, North, West, or South. For instance, while describing a vector, it can be said that a vector is directed 80° South of East. This means that the vector has been rotated 80° from the East towards the South.

## How do you find the resultant direction?

The direction of the resultant can be determined by finding the angle that the resultant makes with either the north-south or the east-west vector. The diagram at the right shows the angle theta (Θ) marked inside the vector addition triangle. This angle theta is the angle that the resultant makes with west.

## What is a vector formula?

The vector equation of a line passing through the point a and in the direction d is: r = a + td, where t varies.

## How do you find magnitude and direction?

MAGNITUDE AND DIRECTION OF A VECTOR Given a position vector →v=⟨a,b⟩,the magnitude is found by |v|=√a2+b2. The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application. For a position vector, the direction is found by tanθ=(ba)⇒θ=tan−1(ba), as illustrated in Figure 8.8.

## What are some examples of direction?

An example of direction is knowledge of where you are going and how to get where you want to end up. An example of direction is when a plan starts to go wrong. An example of direction is when you climb to the top of a mountain and can see 360 degrees around you. Instructions for doing, operating, using, preparing, etc.

## Does scalar have direction?

A quantity that has magnitude but no particular direction is described as scalar. A quantity that has magnitude and acts in a particular direction is described as vector.

## Does magnitude have direction physics?

Magnitude is the quantitative value of seismic energy. It is a specific value having no relation with distance and direction of the epicentre.

## What is unit vector direction?

What Is a Unit Vector in Math? A vector that has a magnitude of 1 is a unit vector. It is also known as a direction vector because it is generally used to denote the direction of a vector. The vectors ^i, ^j, ^k, are the unit vectors along the x-axis, y-axis, and z-axis respectively.

## Can a vector have a negative direction?

Just like scalars which can have positive or negative values, vectors can also be positive or negative. A negative vector is a vector which points in the direction opposite to the reference positive direction. Like scalars, vectors can also be added and subtracted.

## Is direction a vector or scalar?

Vector quantities have two characteristics, a magnitude and a direction. Scalar quantities have only a magnitude. When comparing two vector quantities of the same type, you have to compare both the magnitude and the direction.

## How do you find the direction of two vectors?

Sample question

- Resolve the two vectors into their components.
- Apply the equation v
_{y}= v sin theta to find the y coordinate of the first vector. - For the second vector, apply the equation v
_{x}= v cos theta to find the x coordinate. - Apply the equation v
_{y}= v sin theta to find the y coordinate of the second vector.

## Does distance have magnitude and direction?

5. What is the difference between distance and displacement? Distance has both magnitude and direction, while displacement has magnitude but no direction.