# Find a vector c that bisects the angle

• particleaccelerater
In summary, to find a vector that bisects an angle, you can use the formula c = (a + b)/2 where a and b are the two vectors that form the angle. This midpoint vector will divide the angle into two equal parts. There are multiple ways to find this vector, such as using geometric constructions or trigonometric functions. However, it is not possible to bisect an angle using only one vector as there must be two vectors to form the angle and the midpoint vector will also require two vectors.
particleaccelerater
this is my first post. thanks in advance for the help

Find a vector c that bisects the angle between the vectors a = i + 5j − 2k andb = −3i + j + 6k.

particleaccelerater said:
this is my first post. thanks in advance for the help

Find a vector c that bisects the angle between the vectors a = i + 5j − 2k andb = −3i + j + 6k.
What is the geometric shape that comes to mind from adding two vectors ?

i can do this in 2d but not 3d

Please do not post the same question in more than one place.

- Warren

## 1. How do you find a vector c that bisects the angle?

To find a vector c that bisects the angle, you can use the formula c = (a + b)/2, where a and b are the two vectors that form the angle. This formula will give you the midpoint of the angle, which is also the vector that bisects it.

## 2. Can a vector be used to bisect an angle?

Yes, a vector can be used to bisect an angle. By finding the midpoint of the angle using the formula c = (a + b)/2, where a and b are the two vectors that form the angle, you will have a vector that bisects the angle.

## 3. What is the purpose of finding a vector that bisects an angle?

The purpose of finding a vector that bisects an angle is to have a vector that divides the angle into two equal parts. This can be useful in various geometric and trigonometric calculations.

## 4. Are there multiple ways to find a vector that bisects an angle?

Yes, there are multiple ways to find a vector that bisects an angle. Besides using the formula c = (a + b)/2, you can also use geometric constructions or trigonometric functions to find the midpoint of the angle, which is also the vector that bisects it.

## 5. Is it possible to bisect an angle using only one vector?

No, it is not possible to bisect an angle using only one vector. Two vectors are needed to form an angle, and the midpoint of the angle will also require two vectors, one on each side, to have equal distance from both sides of the angle.

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