Find the Vector $\mathbf { z }$ , Given $\mathbf { u } = \langle 0 , - 8 , - 4 \rangle , \mathbf { v } = \langle - 5,0 , - 6 \rangle$

question 4

Multiple Choice

Find the vector $\mathbf { z }$ , given $\mathbf { u } = \langle 0 , - 8 , - 4 \rangle , \mathbf { v } = \langle - 5,0 , - 6 \rangle$ , and $\mathbf { w } = \langle - 17,25 , - 1 \rangle$ . $- 2 \mathbf { u } + 4 \mathbf { v } - 3 \mathbf { z } = \mathbf { w }$

• A) \(\langle 3,9,15 \rangle\)
• B) \(\langle - 3 , - 1 , - 5 \rangle\)
• C) \(\langle 1,3 , - 5 \rangle\)
• D) \(\langle - 1 , - 3 , - 5 \rangle\)
• E) \(\langle 0 , - 3 , - 4 \rangle\)

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Definitions:

Time Delay

Time Delay refers to a deliberate pause introduced into a control system or circuit to delay the activation or deactivation of an operation or signal.

De-energized

A state in which electrical equipment is not connected to a source of power and has no electric charge.

Hardwired Circuit

A physical electrical circuit built through direct connections rather than programmable or software-controlled interfaces.

Coil TD

Time Delay coil in programmable logic controllers or electrical circuits, providing a delay function before enabling an action.