Respuesta :

oladayoademosu
  • The magnitude of a two dimensional vector represented by r = xi + yj is  r = √(x² + y²) and
  • The magnitude of a three dimensional vector represented by r = xi + yj + zk  is  r = √(x² + y² + z²)

What is a vector?

A vector is a physical quantity that has both magnitude and direction

What is the magnitude of a vector?

A two dimensional vector represented by r = xi + yj has the magnitude r = √(x² + y²) where

  • x = x component of vector r and
  • y = y component of vector r.

Also, a three dimensional vector represented by r = xi + yj + zk has the magnitude r = √(x² + y² + z²) where

  • x = x component of vector r  
  • y = y component of vector r and
  • z = z component of vector r.

Given a vector r = 3i + 4j, we find its magnitude thus r = √(x² + y²) where

  • x = 3 and
  • y = 4

So, r = √(x² + y²)

r = √(3² + 4²)

r = √(9 + 16)

r = √25

r = 25 units

Also, given a vector r = 3i + 4j + 5k, we find its magnitude thus r = √(x² + y² + z²) where

  • x = 3
  • y = 4 and
  • z = 5

So, r = √(x² + y² + z²)

r = √(3² + 4² + 5²)

r = √(9 + 16 + 25)

r = √(25 + 25)

r = √50

r = 5√2 units

So,

  • The magnitude of a two dimensional vector represented by r = xi + yj is  r = √(x² + y²) and
  • The magnitude of a three dimensional vector represented by r = xi + yj + zk  is  r = √(x² + y² + z²)

Learn more about magnitude of a vector here:

https://brainly.com/question/28417164

#SPJ1

Otras preguntas