Finding the vector with a given magnitude and direction of another vector

The video tutorial explains how to create a vector V with a specific magnitude and direction. It begins by discussing the magnitude of vector V and the direction of angle U. The tutorial then checks if a given vector is a unit vector and calculates the unit vector of U. It further explains how to scale the unit vector to achieve a desired magnitude. Finally, the tutorial demonstrates using trigonometric functions, cosine and sine, with unit vectors to find the direction.

What is the magnitude of a unit vector?

• 1

• 0

• 29

• 9

How do you calculate the magnitude of a vector with components (2, 5)?

• Add the components

• Multiply the components

• Divide each component by 2

• Square each component, add them, and take the square root

How is a unit vector derived from a given vector?

• By multiplying each component by 2

• By subtracting 1 from each component

• By dividing each component by the vector's magnitude

• By adding 1 to each component

What operation is performed to change the magnitude of a unit vector to 9?

• Divide each component by 9

• Add 9 to each component

• Multiply each component by 9

• Subtract 9 from each component

Which trigonometric functions are associated with the components of a unit vector?

• Tangent and cotangent

• Sine and cosine

• Secant and cosecant

• Hyperbolic sine and cosine