How to find the vector with given magnitude and same direction of another vector

The video tutorial explains unit vectors, their properties, and how they relate to angles on a unit circle. It covers the process of converting a vector to a unit vector and calculating its magnitude. The tutorial concludes with finding a vector V with a specified magnitude and direction, ensuring it aligns with the unit vector's direction.

What is the defining characteristic of a unit vector?

• It has a magnitude of zero.

• It has a variable magnitude.

• It has a magnitude of one.

• It has a magnitude of two.

How do you calculate the magnitude of a vector?

• By adding the components of the vector.

• By subtracting the components of the vector.

• By taking the square root of the sum of the squares of its components.

• By multiplying the components of the vector.

What is the first step in converting a vector to a unit vector?

• Subtract the vector from its magnitude.

• Add the vector to its magnitude.

• Divide the vector by its magnitude.

• Multiply the vector by its magnitude.

How can you find a vector with a specific magnitude that maintains the same direction as a unit vector?

• Divide the unit vector by the desired magnitude.

• Multiply the unit vector by the desired magnitude.

• Subtract the unit vector from the desired magnitude.

• Add the unit vector to the desired magnitude.

What happens to the direction of a unit vector when it is multiplied by a scalar?

• The direction becomes opposite.

• The direction remains the same.

• The direction becomes undefined.

• The direction changes.