Question

Two cables are securing a kayak to a roof rack. The forces are represented by vectors Vector u = LeftAngleBracket negative 5, 6, 3 RightAngleBracket. and Vector t = LeftAngleBracket negative 8, negative 2, 1 RightAngleBracket.. If both cables are replaced by a single cable, what vector would represent the cable?

LeftAngleBracket 3, 8, 2 RightAngleBracket.
LeftAngleBracket negative 13, 4, 4 RightAngleBracket.
LeftAngleBracket negative 3, negative 8, negative 2 RightAngleBracket.
LeftAngleBracket 13, negative 4, negative 4 RightAngleBracket.

Answer 1

B. <14,-3>

Explanation:

Answer 2

< –13, 4, 4 >

Explanation:

Vector u = < –5, 6, 3 >

Vector t = < –8, –2, 1 >

-5 6 3

+ -8 -2 1

-13 4 4

Vector u + t = < –13, 4, 4 >