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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

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
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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

User Noah Passalacqua
by
8.2k points

1 Answer

2 votes
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
User Raynaldo
by
8.6k points
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