How do you find the magnitude of a vector

The video tutorial explains the concept of vector magnitude, starting with an introduction to vectors in standard and component forms. It then delves into the calculation of vector magnitude using the distance formula, which is rooted in the Pythagorean theorem. The tutorial provides a detailed example of calculating magnitude and highlights the benefits of using component form for simplification. The process involves finding the difference between coordinate points and applying the distance formula to determine the vector's length.

What is the initial point of a vector called?

• Origin

• Component form

• Initial point P

• Terminal point

What does the magnitude of a vector represent?

• The direction of the vector

• The length of the vector

• The initial point of the vector

• The angle of the vector

Which formula is used to find the magnitude of a vector?

• Area formula

• Quadratic formula

• Volume formula

• Distance formula

In the distance formula, what does X2 - X1 represent?

• The sum of x-coordinates

• The change in x-coordinates

• The sum of y-coordinates

• The change in y-coordinates

What is the magnitude of a vector with coordinates (4, 3) and (-3, 1)?

• Square root of 50

• Square root of 49

• Square root of 52

• Square root of 53

How can the magnitude of a vector in component form be simplified?

• By using the quadratic formula

• By using the Pythagorean theorem

• By using the area formula

• By using the volume formula

What is the simplified form of the magnitude for a vector with components (-6, 4)?

• 2 sqrt 13

• 3 sqrt 13

• 4 sqrt 13

• 5 sqrt 13