trishagauravoxo1j7
trishagauravoxo1j7 trishagauravoxo1j7
  • 13-12-2017
  • Mathematics
contestada

Given the coordinates A (5, 7, -2) and B (8, 3, 4) in 3d space, express AB as:
a) a 3x1 column vector b) in the form xi + yj + zk

Respuesta :

Edufirst
Edufirst Edufirst
  • 13-12-2017
The vector AB is found by subtracting the coordinates of point B from the coordinates of point A => (8, 3, 4) - (5, 7, - 2)

(8, 3, 4) - (5, 7, - 2) = (3, - 4, 6)

=>

a) a 3 x 1 column =

|  3  |
| -4  |
|  6  |

b) xi + yj + zk

=> 3i - 4j + 6k
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