Table of Contents

## When the sum of the two vectors are maximum when angle between them is?

Hint: The maximum resultant of 2 vectors is when the angle between them is 0 and the minimum resultant is when the angle between them is 180.

**What is the magnitude of the sum of the two vectors?**

Complete step-by-step answer: We are given that the magnitude of the sum of two vectors is equal to the magnitude of difference of the two vectors. Let us consider $\overrightarrow A $ and $\overrightarrow B $ to be the two vectors which satisfy the given condition.

**Is it possible for the magnitude of the sum of two vectors to be larger than the sum of the magnitudes of the two vectors?**

The magnitude of the resultant (sum) vector EQUALS the sum of magnitudes of each of them. No, it can not be greater.

### At what angle between two vectors would give the greatest vector product magnitude?

90°

i.e., →b b → and →c c → are orthogonal vectors. We can position →a a → and →b b → parallel to each other or at an angle of 0°, making the resultant vector a zero vector. To get the greatest magnitude, the original vectors must be perpendicular(angle of 90°) so that the cross product of the two vectors will be maximum.

**When the magnitude of resultant of two vector is maximum?**

Notes: The magnitude of the resultant of two vectors is maximum when vectors act in the same direction. The magnitude of the resultant of two vectors is minimum when vectors act in the opposite directions.

**When two vectors are added together their resultant is minimum when the angle between them is ___?**

The resultant of two vector is minimum when both vectors are equal and in opposite direction i.e. the angle between the vector is 180 degrees.

## Under what condition is the magnitude of sum of two vectors maximum?

The maximum is obtained when the two vectors are directed in the same direction. The minimum s obtained when the two vectors are directed in the opposite direction.

**Can the magnitude of a vector be greater than the sum of the magnitudes of both components?**

-The magnitude of a vector cannot be zero unless all of its components are zero. -A vector’s magnitude cannot be less than the sum of the magnitude of its components.

**At what angle between two vectors will the magnitude of the resultant of the two vectors be minimum?**

### How do you find the magnitude and angle of a vector?

Sample question

- Apply the Pythagorean theorem to find the magnitude. Plug in the numbers to get 5.1.
- Apply the equation theta= tan–1(y/x) to find the angle. Plug in the numbers to get tan–1(5.0/1.0) = 79 degrees.